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Integrable Systems, Quantum Groups, and Quantum Field Theories

Integrable Systems, Quantum Groups, and Quantum Field Theories
Author: Alberto Ibort
Publisher: Springer Science & Business Media
Total Pages: 508
Release: 2012-12-06
Genre: Science
ISBN: 9401119805

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In many ways the last decade has witnessed a surge of interest in the interplay between theoretical physics and some traditional areas of pure mathematics. This book contains the lectures delivered at the NATO-ASI Summer School on `Recent Problems in Mathematical Physics' held at Salamanca, Spain (1992), offering a pedagogical and updated approach to some of the problems that have been at the heart of these events. Among them, we should mention the new mathematical structures related to integrability and quantum field theories, such as quantum groups, conformal field theories, integrable statistical models, and topological quantum field theories, that are discussed at length by some of the leading experts on the areas in several of the lectures contained in the book. Apart from these, traditional and new problems in quantum gravity are reviewed. Other contributions to the School included in the book range from symmetries in partial differential equations to geometrical phases in quantum physics. The book is addressed to researchers in the fields covered, PhD students and any scientist interested in obtaining an updated view of the subjects.


Integrable Quantum Field Theories

Integrable Quantum Field Theories
Author: L. Bonora
Publisher: Springer Science & Business Media
Total Pages: 330
Release: 2013-11-11
Genre: Science
ISBN: 1489915168

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Proceedings of a NATO ARW held in Como, Italy, September 14-19, 1992


40 Years In Mathematical Physics

40 Years In Mathematical Physics
Author: Ludvig Dmitrievich Faddeev
Publisher: World Scientific
Total Pages: 483
Release: 1995-10-09
Genre: Science
ISBN: 9814500704

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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 YangߝMills 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.


Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School

Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School
Author: Changrim Ahn
Publisher: World Scientific
Total Pages: 354
Release: 2001-09-25
Genre: Science
ISBN: 9814490180

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This volume includes several lecture notes on the fundamentals and elementary techniques of integrable field theories and on their applications to low-dimensional physics systems contributed by leading scientists in the respective fields. The main topics covered are various aspects of the thermodynamic Bethe ansatz, form factors, Calogero (and related) models, sigma models, conformal boundary conditions, etc. The volume presents both pedagogical material and a current research trend in the field.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)


Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory

Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory
Author: S. Pakuliak
Publisher: Springer Science & Business Media
Total Pages: 334
Release: 2012-12-06
Genre: Science
ISBN: 9401006709

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Integrable quantum field theories and integrable lattice models have been studied for several decades, but during the last few years new ideas have emerged that have considerably changed the topic. The first group of papers published here is concerned with integrable structures of quantum lattice models related to quantum group symmetries. The second group deals with the description of integrable structures in two-dimensional quantum field theories, especially boundary problems, thermodynamic Bethe ansatz and form factor problems. Finally, a major group of papers is concerned with the purely mathematical framework that underlies the physically-motivated research on quantum integrable models, including elliptic deformations of groups, representation theory of non-compact quantum groups, and quantization of moduli spaces.


Quantum Integrable Systems

Quantum Integrable Systems
Author: Asesh Roy Chowdhury
Publisher: CRC Press
Total Pages: 425
Release: 2004-01-28
Genre: Science
ISBN: 0203498011

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The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the m


Integrable Quantum Field Theories

Integrable Quantum Field Theories
Author: J. Hietarinta
Publisher:
Total Pages: 266
Release: 2014-01-15
Genre:
ISBN: 9783662187357

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Integrable Quantum Field Theories and Their Application

Integrable Quantum Field Theories and Their Application
Author: Changrim Ahn
Publisher: World Scientific
Total Pages: 360
Release: 2001
Genre: Mathematics
ISBN: 9789812799739

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Applications of reflection amplitudes in Toda-type theories / C. Ahn, C. Kim and C. Rim -- Lax pairs and involutive Hamiltonians for CN and BCN Ruijsenaars-Schneider models / Kai Chen, B.-Y. Hou and W.-L. Yang -- Fateev's models and their applications / D. Controzzi and A.M. Tsvelik -- The ODE/IM correspondence / P. Dorey, C. Dunning and R. Tateo -- Integrable sigma models / P. Fendley -- Lorentz lattice gases and spin chains / M.J. Martins -- Quantum Calogero-Moser models for any root system / R. Sasaki -- Quasi-particles in conformal field theories for fractional quantum Hall systems / K. Schoutens and R.A.J. van Elburg -- Towards form factors in finite volume / F.A. Smirnov -- Static and dynamic properties of trapped Bose-Einstein condensates / T. Tsurumi, H. Morise and M. Wadati -- Integrability of the Calogero Model: Conserved quantities, the classical general solution and the quantum orthogonal basis / H. Ujino, A. Nishino and M. Wadati -- Conformal boundary conditions / J.-B. Zuber