Current Problems in Theoretical Physics
Current Problems in Theoretical Physics 28 – 31 March 2015 Lloyd’s Baia Hotel Vietri sul Mare (SA) Scientific Committee C.M. Becchi (Genova), L. Bonora (SISSA, Trieste), S. Capozziello (Napoli), M. Carfora (Pavia), V. Ferrari (Roma), F. Lizzi (Napoli), G. Marmo (Napoli), S. Pascazio (Bari). Organizing Committee G. Lambiase, G. Marmo, L. Parisi, N. Radicella, G. Sparano, P. Vitale. Organization Dipartimento di Fisica, Università di Napoli “Federico II” Dipartimento di Fisica “E.R. Caianiello”, Università di Salerno Sponsored Università degli Studi di Salerno Istituto Nazionale di Fisica Nucleare Dipartimento di Fisica, Università di Napoli “Federico II” Program Integrability and Nonlinearity in field theory In honour of Gaetano Vilasi 70th birthday Saturday 28 March - Chair M. Gasperini / M. Man’ko 09:00 - 09:30 Registration 09:30 - 10.15 H. Yamamoto 10:15 - 11:00 11:00 - 11:30 J. Grabowski Coffee Break 11:30 - 12:15 A. Ianovsky 12:15 - 13:00 V. S. Gerdjikov 13:00 - 15:00 Lunch 15:00 - 15:45 D. Yoshioka Star product and Weyl manifold 15:45 - 16:30 A. Vinogradov The chemistry of simply assembled from lieons Lie algebras 16:30 - 17:00 Coffee Break 17:00 - 17:45 G. Landi Sigma-model solitons on noncommutative spaces 17:45 - 18:30 S. Pascazio Quantum Zeno Dynamics and Quantum Zeno Subspaces 18:30 - 19:00 M. Salerno Compacton Matter Wave Induced by Time Dependent Interactions Advanced LIGO : Aiming for the detection of the gravitational wave signal, and beyond Tulczyjew triples in the dynamics of strings Geometric theory of the Generating Operators associated with linear problems of Caudrey-Beals-Coifman type in canonical and in pole gauge with and without reductions Integrable equations and recursion operators related to the affine Lie algebras Sunday 29 March - Chair M. Gasperini / V. Man’ko 09:30 - 10:15 F. Magri Le equazioni WDVV 10:15 - 11:00 L. Bonora Teorie conformi e anomalie di traccia 11:00 - 11:30 Coffee Break 11:30 - 12:15 V. Ferrari Black holes have no hair: what about neutron stars? 12:15 - 13:00 S. Capozziello Hydrostatic equilibrium and stellar structure in Extended Theories of Gravity 13:00 - 15:00 Lunch 15:00 - 15:45 I. Ciufolini General Relativity, Fundamental Physics and the LARES Space Experiment 15:45 - 16:30 M. Carfora Heat kernel embedding, non-linear sigma models and Ricci flow extensions 16:30 - 17:00 Coffee Break 17:00 - 17:45 F. Canfora Generalized hedgehog and Non-linear composition law for Skyrmions in 4 dimensions 17:45 -18:15 L. Martina Exact solutions of the relativistic Skyrme-Faddeev model GeoSymQFT (Geometry, Symmetry and Quantum Field Theory) Monday 30 March - Chair V. Gerdjikov / F. Canfora 09:20 – 09:30 Opening 09:30 – 10:20 E. Gozzi 10.20 – 11:10 A. Quadri 11:10 – 11:30 Coffee break 11:30 – 12:20 F. D'Andrea 12:20 – 13:10 M. Blasone 13:10 – 14:50 Lunch 14:50 – 15:40 F. Corberi Condensation of large fluctuations in a thermodynamical system. 15:40 – 16:10 F. Dell'Anno Entanglement in neutrino oscillations 16:10 – 16:30 Coffee Break 16:30 – 17:20 P. Christillin Particle creation in our expanding black hole Universe 17:20 – 18:10 R. Giachetti Bound states of two relativistic fermions 18:10 - Discussion Are there problems for large value of the action like there were for small ones? The Background Field Method as a Canonical Transformation The Standard Model in Noncommutative Geometry and Morita equivalence Dynamical generation of fermion mixing Tuesday 31 March - Chair V. Gerdjikov / F. Canfora 9:30 – 10:20 C. Dappiaggi Remarks on the Casimir effect from the point of view of algebraic quantum field theory 10:20 – 11:10 M. Cianciaruso Measures and applications of quantum correlations 11:10 – 11:30 Coffee break 11:30 – 12:20 A. Marzuoli Quadratic operator algebras and recursive quantum languages 12:20 – 13:10 M. Tarlini Integrability on compact hermitian symmetric spaces 13:10 – 13:30 Conclusion workshop 13:30 Lunch Abstract Integrability and Nonlinearity in field theory Saturday 28 H. Yamamoto California Institute of Technology, USA Advanced LIGO : Aiming for the detection of the gravitational wave signal, and beyond The ground-based gravitational wave detection project in the United States, LIGO (Laser Interferometer Gravitational-Wave Observatory) has almost completed the major upgrade of the initial detector which operated until 2010. With this upgrade, the event rate is designed to increase by factor 1000, and operations aiming for detection are scheduled to start from this fall. In this talk, the opt-mechanical technologies used in the advanced LIGO interferometers are explained and the status and schedule of the detector are outlined. In order to study the details of the astronomy, discussions for the enhancement of the LIGO detector have already started. These ideas, using the current infrastructure and beyond, are introduced. J. Grabowski Institute of Mathematics, Polish Academy of Sciences Tulczyjew triples in the dynamics of strings The Lagrangian description of mechanical systems and the Legendre Transformation (considered as a passage from the Lagrangian to the Hamiltonian formulation of the dynamics) for point-like objects, for which the infinitesimal configuration space is TQ, is based on the existence of canonical symplectic isomorphisms of double vector bundles T T*Q, T* T* Q and T* T Q. We show that there exist an analogous picture in the dynamics of objects for which the configuration space is TQ, if we make use of certain graded bundles, objects generalizing vector bundles. Dynamics of strings and the Plateau problem in statics are particular cases of this framework. A. Ianovsky University of Cape Town Geometric theory of the Generating Operators associated with linear problems of Caudrey-Beals Coifman type in canonical and in pole gauge with and without reductions We shall discuss some recent developments of the geometric theory of the Recursion Operators for Caudrey-Beals-Coifman systems on semisimple Lie al- gebras. As well known the essence of this interpretation is that the the Recursion Operators could be considered as adjoints to Nijenhuis tensors on certain infi- nite dimensional manifolds. In particular, we discuss the case when there are Zp reductions of Mikhailov type and we give some concrete systems as examples. Integrability and Nonlinearity in field theory V. S. Gerdjikov Institute for Nuclear Research and Nuclear Energy Integrable equations and recursion operators related to the affine Lie algebras We have derived a family of mKdV-type equations related to the affine Lie algebras g using a Coxeter Zh-reduction where h is the Coxeter number of g. Each of these systems of equations is Hamiltonian. For the algebra sl(r + 1) it reads: In particular for g , i.e. r=4 we obtain where We also derive the recursion operators and demonstrate their Hamiltonian hierarchies. D. Yoshioka Tokyo University of Science Star product and Weyl manifold Deformation quantization is deforming a usual product for functions on a manifold to be an associative product by means of power series of a deformation parameter. When a manifold is symplectic, the deformation quantization can be given a geometric picture such as a Weyl algebra bundle with certain sections corresponding to functions on the manifold. From a Weyl manifold, we can obtain a deformation quantization. In this talk we review and discuss a Weyl manifold over a symplectic manifold. A. Vinogradov Diffiety Institute Moscow and Levi Civita Institute The chemistry of simply assembled from lieons Lie algebras Abstract: As is well-known, Lie algebras naturally appear as symmetry algebras of various physical systems. The idea that a compund structure of a physical system should be reflected in the structure of Integrability and Nonlinearity in field theory its symmetries algebra was confirmed by a recent author's theorem that tells that any finitedimensional Lie algebra can be assembled from two lieons. In the world of Lie algebras lieons play the same role as quarks and leptons in the theory of elementary particles. Assemblage of Lie algebras from lieons is a multi-step procedure based on the notion of compatible Poisson structures. In the talk all necessary facts of this theory will be briefly discussed and then will be exactly described Lie algebras that can be assembled in one step from lieons. A big bulk of speculations is planned too. G. Landi Università degli Studi di Trieste e INFN Sezione di Trieste Sigma-model solitons on noncommutative spaces We use results from time-frequency analysis and Gabor analysis to construct new classes of sigmamodelsolitons over the Moyal plane and over noncommutative tori, taken as source spaces, with a target space made of two points. A natural action functional leads to self-duality equations for projections in the source algebra. Solutions, having non-trivial topological content, are constructed via suitable Morita duality bimodules. S. Pascazio Dipartimento di Fisica, Università di Bari e INFN Sezione di Bari Quantum Zeno Dynamics and Quantum Zeno Subspaces We analyze the quantum Zeno effect that arises for frequent projections onto a multi-dimensional subspace. Under such conditions, the system remains in the “Zeno subspace” defined by the measurement, undergoing a "quantum Zeno dynamics" with very interesting features. Some significant examples will be proposed and their practical relevance discussed. We comment on the control of decoherence, irreversibility and the drawbacks due to the inverse Zeno effect. We focus on three recent experiments performed in Paris and Florence. We discuss promising methods for tailoring nonclassical states. M. Salerno Dipartimento di Fisica, Università degli Studi di Salerno Compacton Matter Waves Induced by Time Dependent Interactions Compacton matter waves in Bose-Einstein condensates (BEC) trapped in deep optical lattices in the presence of strong and rapid periodic time modulations of the atomic scattering length, are presented. Contrary to ordinary solitons, the amplitude of a compacton reduces exactly to zero outside the localizing domain, this implying the total suppression of the inter-well tunneling at the compacton edges. Existence and stability of matter wave compactons will be discussed both for single component BEC and for binary BEC mixtures. Besides BEC, results apply also to light propagation in optical waveguide arrays with Kerr nonlinearity periodically modulated along the propagation distance. Integrability and Nonlinearity in field theory Sunday 29 F. Magri Università degli Studi di Milano – Bicocca Le equazioni WDVV The WDVV equations are a system of third-order nonlinear PDEs which has been discovered in the setting of Topological Field Theories. An interpretation of these equations has been proposed by Boris Dubrovin, in the middle of the 90's, through the concept of Frobenius manifold. In the talk, my purpose is to tersely review the classical approach by Dubrovin, emphasizing at the same time an alternative interpretation of the WDVV equations in terms of the concept of “ Lenard chains” , wellknown inside the theory of integrable systems. L. Bonora SISSA Trieste Teorie conformi e anomalie di traccia In this talk I will show that field theories of massless chiral fermions with a net unbalance of chirality are affected by a parity violating trace anomaly. I will discuss the possible physical consequences of this anomaly. V. Ferrari Sapienza Università di Roma Black holes have no hair: what about neutron stars? It is known that black holes have no hair, which means that they are fully described by only three parameters: mass, spin and charge. Conversely, a neutron star may have a very rich multipole structure, and all information about this structure is supposed to be radiated away during the gravitational collapse. However, the transition from a fully hairy star to a bald black hole may not be so sharp. In recent years some relations among the moment of inertia, the quadrupole moment and the tidal deformability of neutron stars have been shown to exist, which are approximately independent of the equation of state. We will discuss the origin of these relations, which considerably reduce the number of parameters characterizing a neutron star, their range of validity, and provide examples of how they could be used. S. Capozziello Dipartimento di Fisica, Università degli Studi di Napoli “Federico II” e INFN Sezione di Napoli Hydrostatic equilibrium and stellar structure in Extended Theories of Gravity. We investigate the hydrostatic equilibrium of stellar structure by taking into account the modified Lane'-Emden equation coming out from f(R)-gravity. Such an equation is obtained in metric approach by considering the Newtonian limit of f(R)-gravity, which gives rise to a modified Poisson equation, and then introducing a relation between pressure and density with polytropic index n. The modified Integrability and Nonlinearity in field theory equation results an integro-differential equation, which, in the limit of General Relativity becomes the standard Lane'-Emden equation. We find the radial profiles of gravitational potential by solving for some values of n. The comparison of solutions with those coming from General Relativity shows that they are compatible and physically relevant. This analysis gives rise to unstable modes not present in the standard Jeans analysis (derived assuming Newtonian gravity as weak filed limit of f(R)=R). In this perspective, we discuss several self-gravitating astrophysical systems whose dynamics could be fully addressed in the framework of f(R)-gravity. I. Ciufolini Università degli Studi del Salento General Relativity, Fundamental Physics and the LARES Space Experiment Space experiments have been extensively used to test Einstein’s theory of General Relativity andfundamental physics. Here we present the tests of dragging of inertial frames and of stringtheories obtained with the LAGEOS and LARES satellites. Dragging of inertial frames, or frame-dragging, is an intriguing and fascinating phenomenon predicted by Einstein’s theory of General Relativity with relevant astrophysical effects in the vicinities of rotating black holes. Limits on string theories, of Chern–Simons type, have been set by using the current measurements of frame-dragging with the LAGEOS and LAGEOS 2 satellites, and will be set using the future improvement of these limits with the LARES satellite. We briefly review the previous experimental tests of frame-dragging which were obtained using the LAGEOS satellites and with the dedicated Gravity Probe B space mission which reported an accuracy of about 10% and 19% in their measurements in 2004–2011 and 2011, respectively. Finally we describe the space mission and the LARES satellite designed to minimize the orbital effects of non-gravitational perturbations. The first few months of LARES observations and orbital analyses confirmed that, due to its special design, the orbit of LARES is closer to the theoretical motion of a test particle predicted by General Relativity, i.e. geodesic motion, than that of any other satellite. We also briefly report the results of extensive error analyses and of one hundred Monte Carlo simulations confirming an error budget of approximately 1% in the forthcoming test of frame-dragging with the LARES space experiment. M. Carfora Università di Pavia Heat kernel embedding, non-linear sigma models and Ricci flow extensions Non linear sigma models are quantum field theories describing, in the large deviations sense, random fluctuations of harmonic maps between a Riemann surface and a Riemannian manifold. Via their formal renormalization group analysis, they provide a framework for possible generalizations of the Hamilton-Perelman Ricci flow. By exploiting the heat kernel embedding introduced by N. Gigli and C. Mantegazza, we provide a rigorous model for the embedding of Ricci flow into the renormalization group flow for non linear sigma models. This embedding characterizes a non-trivial generalization of the Hamilton--Perelman version of the Ricci flow. Integrability and Nonlinearity in field theory F. Canfora CECS Valdivia Cile Generalized hedgehog and Non-linear composition law for Skyrmions in 4 dimensions In this talk it is shown how to generalize the so-called hedgehog ansatz for the SU(2) Skyrme model in four dimensions in such a way to both construct the first exact multi-solitonic solutions of the model and to disclose the appearance of a non-linear superposition law. The generalization to the SU(N) case is also shortly discussed. L. Martina Dip. Matematica e Fisica - Università del Salento Exact solutions of the relativistic Skyrme-Faddeev model The Skyrme-Faddeev model admits exact analytical non localized solutions, which describe magnetic domain wall solutions when multivalued singularities appear or, differently, always regular periodic nonlinear waves, which may degenerate into linear spin waves or solitonic structures. Here both classes of solutions are derived and discussed and a general discusssion about the existence of integrable subsectors of the model is addressed. GeoSymQFT (Geometry, Symmetry and Quantum Field Theory) Monday 30 E. Gozzi Dept. of Physics. Theoretical Section, University of Trieste Are there problems for large value of the action like there were for small ones? In this talk we will give a brief l review of the Koopmann von Neuman operatorial formalism for classical mechanics and of its modern path-integral counterpart. In this framework the procedure of dequantization, i.e.going from Quantum Mechanics to Classical Mechanics, can be re-interpreted using "renormalization group like" methods in which the analogue of the beta function is zero while the gamma function is not zero. Classical Mechanics may not be an infrared stable fixed point of this gamma function. That point could be the correct mechanics at large phase-space scale. A. Quadri INFN, Sez. di Milano The Background Field Method as a Canonical Transformation We show that the Background Field Method (BFM) can be implemented through a (backgrounddependent) canonical transformation with respect to the Batalin-Vilkovisky bracket of the theory. This paves the way to a non-perturbative implementation of the BFM. Some novel applications in the context of the effective field theory description of the Color Glass Condensate and to the study of the IR properties of the gluon and ghost propagators are considered. F. D’Andrea Università di Napoli Federico II The Standard Model in Noncommutative Geometry and Morita equivalence After a brief review of the spectral action approach to the Standard Model of particle physics, I will discuss some properties of the finite-dimensional spectral triple (A,H,D) describing the internal degrees of freedom of elementary particles. Vectors in the Hilbert spaces H can be interpreted as spinors on a finite "non-commutative manifold" if they satisfy a mathematical condition that can be rigorously formulated in term of Morita equivalence. I will illustrate some consequences of this condition: in particular, such aconstrain imposes the presence in the action functional of two additional terms, one mixing leptons with quarks. The latter term is also necessary in order to have an irreducible spectral triple. GeoSymQFT (Geometry, Symmetry and Quantum Field Theory) M. Blasone Università degli Studi di Salerno e INFN Sezione di Napoli Dynamical generation of fermion mixing We present a dynamical mechanism à la Nambu-Jona-Lasinio for the generation of masses and mixing for two interacting fermion fields. The analysis is carried out in a framework in which mass generation is achieved via inequivalent representations, and that we generalize to the case of two generations. The method allows a clear identification of the vacuum structure for each physical phase, confirming previous results about the distinct physical nature of the vacuum for fields with definite mass and fields with definite flavor. F. Dell’Anno Università degli Studi di Salerno Entanglement in neutrino oscillations I will review recent results on the study of the entanglement properties of oscillating neutrinos, and discuss the possibility to use neutrinos as a resource for quantum information. I will also discuss the extension of these results to the relativistic case, in the context of quantum field theory. P. Christillin Dipartimento di Fisica, Università degli Studi di Pisa Particle creation in our expanding black hole Universe Hubble’s law proves that the Universe is undergoing free expansion i.e. without external work. Thus the post big bang temperature decrease must be due to particle creation, if energy conservation applies at every scale. This scenario is further backed up by the consideration of the black body self energy of the early dominated radiation era. That seems to provide an alternative consistent scheme for our picture of the Universe evolution. R. Giachetti Università degli Studi di Firenze Bound states of two relativistic fermions We present the results we have obtained so far for atoms hydrogenoid and mesons in the model of quarkonium, indicating our perspectives and the goals we would like to achieve. GeoSymQFT (Geometry, Symmetry and Quantum Field Theory) Tuesday 31 C. Dappiaggi Dipartimento di Fisica, Università degli Studi di Pavia Remarks on the Casimir effect from the point of view of algebraic quantum field theory We consider a real scalar field in two scenarios, often associated to the Casimir effect, namely a region of Minkowski spacetime whose boundary is either one or two parallel plates, orthogonal to a spacelike direction. We discuss how to associate to these two systems an algebra of observables and a quantum state. We discuss in particular under which conditions a state is physically acceptable. Eventually we use our results to introduce the notion of Wick polynomials, constructing explicitly the two-pointfunction and the regularized energy density, showing, moreover, that the outcome is consistent with the standard results of the Casimir effect. Joint work with Gabriele Nosari and Nicola Pinamonti, ArXiv:1412.1409 [math-ph]. M. Cianciaruso Università degli Studi di Salerno e INFN Sezione di Napoli Measures and applications of quantum correlations Quantum information theory is built upon the realisation that quantum resources such as coherence and entanglement can be exploited for novel or enhanced ways of processing, encoding and manipulating information, such as quantum cryptography, teleportation, and quantum computing. We now know that there is potentially much more beyond entanglement behind the power of quantum machines. There are more general forms of quantum correlations, that have been identified in almost all quantum states, that can manifest extreme resilience to decoherence, and have been linked to the advantage of certain quantum protocols over classical ones in the presence of noise. Their manifestation represents, among other things, a signature that quantumness extends far beyond the microworld. In this talk we give an overview of the current quest for a proper understanding and characterisation of the border between classical and quantum correlations in composite systems. We focus in particular on various approaches to quantify correlations of the discord type and comment on their operational significance for quantum technology tasks such as information encoding, decoding, transmission and metrology. We then provide a broader outlook of the different applications in which quantumness beyond entanglement looks fit to play a key role. A. Marzuoli Università di Pavia Quadratic operator algebras and recursive quantum languages The Racah-Wigner algebra of the quantum theory of angular momentum (and its q-deformed analogues at q=root of unity) provides the frame for a unified formulation of automaton models and universal Turing machine. The argument is based on the analysis of the eigenvalue problem for GeoSymQFT (Geometry, Symmetry and Quantum Field Theory) quadratic operators and on the properties of their automorphism group and associated three-term recursion relations for eigenfunctions. M. Tarlini INFN Sezione di Firenze Integrability on compact hermitian symmetric spaces We study a class of Poisson-Nijenhuis systems defined on compact hermitian symmetric spaces, where the Nijenhuis tensor is defined as the composition of KKS symplectic form with the so called Bruhat Poisson structure. We determine its spectrum. In the case of Grassmannians the eigenvalues are the so called Gelfand-Cetlin variables. In the general case, we introduce collective hamiltonians defined by a chain of nested subalgebras and prove complete integrability. The eigenvalues of the Nijenhuis tensor give a choice of action variables. Participants Dipartimento di Fisica, Università degli studi di Salerno Università degli Studi di Pisa and INFN Sezione di Pisa Università degli Studi di Salerno e INFN Sezione di Napoli Aldi Giulio Francesco [email protected] Anselmi Damiano Blasone Massimo Bonora Loriano SISSA Trieste [email protected] Buoninfante Luca Università degli Studi di Salerno [email protected] Calderón Ipinza Marcelo Politecnico di Torino and INFN Torino [email protected] Canfora Fabrizio CECS Valdivia Cile [email protected] Capolupo Antonio Università degli Studi di Salerno e INFN Sezione di Napoli [email protected] Capozziello Salvatore Dipartimento di Fisica, Università degli Studi di Napoli “Federico II” e INFN Sezione di Napoli [email protected] Carfora Mauro Università di Pavia [email protected] Christillin Paolo Dipartimento di Fisica, Università degli Studi di Pisa [email protected] Ciaglia Florio Maria Università di Napoli Federico II [email protected] Cianciaruso Marco Università degli Studi di Salerno e INFN Sezione di Napoli [email protected] Citro Roberta Università degli Studi di Salerno [email protected] Ciufolini Ignazio Università degli Studi del Salento [email protected] Corberi Federico Università degli Studi di Salerno e INFN Sezione di Napoli [email protected] D'Andrea Francesco Università di Napoli Federico II [email protected] D'Apolito Emma Università degli Studi di Salerno Dappiaggi Claudio Dipartimento di Fisica, Università degli Studi di Pavia De Rienzo Maria Teresa University of Salerno Dell'Anno Fabio Università degli Studi di Salerno Di Cosmo Fabio University of Naples [email protected] Di Filippo Francesco Università degli studi di Salerno [email protected] Di Marino Vincenzo Dip. di Fisica “E.R. Caianiello” [email protected] Di Mauro Marco Università degli Studi di Salerno [email protected] Di Vito Marina Durante Ofelia Università degli Studi di Salerno Esposito Giampiero INFN, Sezione di Napoli Esposito Simone Università degli studi di Salerno [email protected] Ferrari Valeria Sapienza Università di Roma [email protected] Fiore Gaetano Università Federico II, and INFN, Napoli [email protected] Galluzzi Vincenzo Dipartimento di Fisica e Astronomia (Università di Bologna) e INAF (Bologna) [email protected] Gasperini Maurizio Università di Bari [email protected] Genovese Luca Università degli studi di Salerno [email protected] Gerdjikov Vladimir Institute for Nuclear Research and Nuclear Energy [email protected] Giachetti Riccardo Università degli Studi di Firenze [email protected],it Giordano Alessandro Department of Physics University of Salerno [email protected] Gozzi Ennio Dept. of Physics. Theoretical Section, University of Trieste [email protected] Grabowski Janusz Institute of Mathematics, Polish Academy of Sciences jagrab|@impan.pl Ianovsky Alexandar University of Cape Town [email protected] Insalata Ferdinando Università degli Studi di Salerno (studente) [email protected] Lambiase Gaetano Università degli Studi di Salerno e INFN Sezione di Napoli [email protected] [email protected] [email protected] [email protected] Landi Gianni Università degli Studi di Trieste e INFN Sezione di Trieste [email protected] Lizzi Fedele Dipartimento di Fisica, Università di Napoli Federico II e INFN [email protected] Luciano Giuseppe Gaetano Dipartimento di Fisica, Università di Salerno [email protected] Luongo Orlando Dipartimento di Fisica, Università di Napoli “Federico II” e INFN [email protected] Magri Franco Università degli Studi di Milano - Bicocca [email protected] Maiellaro Alfonso Università degli Studi di Salerno [email protected] Man'ko Vladimir I. LEBEDEV INSTITUTE MOSCOW [email protected] Man'ko Margarita LEBEDEV INSTITUTE MOSCOW [email protected] Università degli Studi di Salerno e INFN Sezione di Napoli Università di Napoli Federico II e INFN Sezione di Napoli Mario Salerno Marmo Giuseppe Martina Luigi Dip Matematica e Fisica - Università del Salento [email protected] Marzuoli Annalisa Università di Pavia [email protected] Napoli Carmine Dipartimento di Fisica, Università di Salerno [email protected] Parisi Luca Università degli Studi di Salerno [email protected] Pascazio Saverio Dipartimento di Fisica, Università di Bari e INFN Sezione di Bari [email protected] Petruzziello Luciano Università degli studi di Salerno [email protected] Pizza Liberato INFN e Università degli Studi di Pisa [email protected] Quadri Andrea INFN, Sez. di Milano [email protected] Radicella Ninfa Università degli Studi di Salerno e INFN Sezione di Napoli [email protected] Rosa Luigi Università degli Studi di Napoli Federico II e INFN Sezione di Napoli [email protected] Rutili Samuel University of Pavia [email protected] Salerno Mario Università degli Studi di Salerno Scardigli Fabio American University of Middle East, Kuwait Smaldone Luca Dipartimento di Fisica, Università di Salerno Sorace Emanuele INFN Sezione di Firenze [email protected] Sparano Giovanni Università degli Studi di Salerno e INFN Sezione di Napoli [email protected] Stabile Arturo University of Sannio [email protected] Stabile Antonio Università degli studi di Salerno [email protected] Tarlini Marco INFN Sezione di Firenze [email protected] Torre Gianpaolo University of Salerno [email protected] Urban Francesca Università degli studi di Salerno [email protected] Ventriglia Franco Università degli Studi di Napoli ``Federico II`` [email protected] Venturi Giovanni Vilasi Gaetano Vinogradov Alexander Vitagliano Luca Vitale Patrizia Vitiello Giuseppe Università di Bologna, Dipartimento di Fisica e Astronomia Università degli Studi di Salerno e INFN Sezione di Napoli [email protected] [email protected] [email protected] [email protected] [email protected] Diffiety Institute Moscow and Levi Civita Institute Università degli Studi di Salerno e INFN Sezione di Napoli Università di Napoli Federico II e INFN Sezione di Napoli Università degli Studi di Salerno e INFN Sezione di Napoli [email protected] [email protected] [email protected] Yamamoto Hiroaki California Institute of Technology, USA [email protected] Yoshioka Akira Tokyo University of Science [email protected] Zampini Alessandro University of Luxembourg, Belgium [email protected] NOTE
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