Développements Récents en Théorie Des Champs Et Mécanique Statistique PDF Download

Author: Jean Bernard Zuber
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 920

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Book Description
Over the last ten years, quantum field theory and statistical mechanics have undergone quick and parellel developments characterized by the emergence of new ideas and the use of common concepts and methods. In particular, the renormalization group ideas have been successfully applied to the study of critical behaviour in quantum field theories. Simultaneously, the flourishing of gauge theories has produced a complete renewal in the theory of elementary particles. In view of this burst of ideas and new results, this Les Houches summer school was organised and open to physicists working in the domains of field theory, particle physics, condensed matter and neighbouring fields. The resulting proceedings provide an up-to-date review of the important developments in these fields.

Author: P. Binétruy
Publisher: Elsevier
ISBN: 1483257320
Category : Science
Languages : en
Pages : 341

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Book Description
Recent Advances in Field Theory presents the proceedings of the Fourth Annecy Meeting on Theoretical Physics, held in Annecy-le-Vieux, France, on March 5–9, 1990. This book presents several relevant developments on the subject, including quantum algebra, two-dimensional quantum gravity, and topological quantum theories. Organized into 29 chapters, this book begins with an overview of the Hamiltonian quantization of the topological Chern–Simons theory. This text then examines the conformal affine Liouville model. Other chapters consider the global analyticity properties of functions correlated with causal kernels on de Sitter space. This book discusses as well the three particle models in terms of noncommutative gauge theory, namely, the Peccei-Quinn model, the Glashow–Weinberg–Salam model, and the standard model. The final chapter deals with the development on the construction of lattice integrable models corresponding to the SU (N) coset conformal field theories. This book is a valuable resource for physicists and scientists.

Author: L. D. Faddeev
Publisher: World Scientific
ISBN: 9789810221997
Category : Science
Languages : en
Pages : 492

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Book Description
This is a collection of Prof L D Faddeev's important lectures, papers and talks. Some of these have not been published before and some have, for the first time, been translated from Russian into English. The topics covered correspond to several distinctive and pioneering contributions of Prof Faddeev to modern mathematical physics: quantization of Yang?Mills and Einstein gravitational fields, soliton theory, the many-dimensional inverse problem in potential scattering, the Hamiltonian approach to anomalies, and the theory of quantum integrable models. There are also two papers on more general aspects of the interrelations between physics and mathematics as well as an autobiographical essay.

Author: Giorgio Parisi
Publisher: World Scientific
ISBN: 9789810213565
Category : Science
Languages : en
Pages : 518

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Book Description
This volume is a collection of lectures and selected papers by Giorgio Parisi on the subjects of Field Theory (perturbative expansions, nonperturbative phenomena and phase transitions), Disordered Systems (mainly spin glasses) and Computer Simulations (lattice gauge theories).The basic problems discussed in the Field Theory section concern the interplay between perturbation theory and nonperturbative phenomena which are present when one deals with infrared or ultraviolet divergences or with nonconvergent perturbative expansions. The section on Disordered Systems contains a complete discussion about the replica method and its probabilistic interpretation, and also includes a short paper on multifractals. In the Simulations section, there is a series of lectures devoted to the study of quantum chromodynamics and a review paper on simulations in complex systems.The works of Giorgio Parisi have repeatedly displayed a remarkable depth of originality and innovation, and have paved the way for new research in many areas. This personal selection of his lectures and papers, complete with an original introduction by him, undoubtedly serves as a vital reference book for physicists and mathematicians working in these fields.

Author: Jan F. van Diejen
Publisher: Springer Science & Business Media
ISBN: 1461212065
Category : Science
Languages : en
Pages : 572

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Book Description
In the 1970s F. Calogero and D. Sutherland discovered that for certain potentials in one-dimensional systems, but for any number of particles, the Schrödinger eigenvalue problem is exactly solvable. Until then, there was only one known nontrivial example of an exactly solvable quantum multi-particle problem. J. Moser subsequently showed that the classical counterparts to these models is also amenable to an exact analytical approach. The last decade has witnessed a true explosion of activities involving Calogero-Moser-Sutherland models, and these now play a role in research areas ranging from theoretical physics (such as soliton theory, quantum field theory, string theory, solvable models of statistical mechanics, condensed matter physics, and quantum chaos) to pure mathematics (such as representation theory, harmonic analysis, theory of special functions, combinatorics of symmetric functions, dynamical systems, random matrix theory, and complex geometry). The aim of this volume is to provide an overview of the many branches into which research on CMS systems has diversified in recent years. The contributions are by leading researchers from various disciplines in whose work CMS systems appear, either as the topic of investigation itself or as a tool for further applications.

Author: Philippe Francesco
Publisher: Springer Science & Business Media
ISBN: 1461222567
Category : Science
Languages : en
Pages : 908

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Book Description
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.

Author: Claude Itzykson
Publisher: EDP Sciences
ISBN: 2759802981
Category : Science
Languages : fr
Pages : 404

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Book Description
Cet ouvrage en deux volumes traite des aspects communs à la théorie quantique des champs et à la mécanique statistique, tant en ce qui concerne les méthodes analytiques que les techniques de simulation sur ordinateur.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544

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Book Description

Author: Mary K. Gaillard
Publisher:
ISBN:
Category : Gauge fields (Physics)
Languages : en
Pages : 688

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Book Description

Author: Louis H. Kauffman
Publisher: World Scientific
ISBN: 9789810225759
Category : Mathematics
Languages : en
Pages : 400

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Book Description
This book constitutes a review volume on the relatively new subject of Quantum Topology. Quantum Topology has its inception in the 1984/1985 discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials). These invariants were rapidly connected with quantum groups and methods in statistical mechanics. This was followed by Edward Witten's introduction of methods of quantum field theory into the subject and the formulation by Witten and Michael Atiyah of the concept of topological quantum field theories.This book is a review volume of on-going research activity. The papers derive from talks given at the Special Session on Knot and Topological Quantum Field Theory of the American Mathematical Society held at Dayton, Ohio in the fall of 1992. The book consists of a self-contained article by Kauffman, entitled Introduction to Quantum Topology and eighteen research articles by participants in the special session.This book should provide a useful source of ideas and results for anyone interested in the interface between topology and quantum field theory.