Form Factors In Completely Integrable Models Of Quantum Field Theory

Form Factors In Completely Integrable Models Of Quantum Field Theory
Author: F A Smirnov
Publisher: World Scientific
Total Pages: 224
Release: 1992-08-07
Genre: Science
ISBN: 9814506907

The monograph summarizes recent achievements in the calculation of matrix elements of local operators (form factors) for completely integrable models. Particularly, it deals with sine-Gordon, chiral Gross-Neven and O(3) nonlinear s models. General requirements on form factors are formulated and explicit formulas for form factors of most fundamental local operators are presented for the above mentioned models.

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

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.

Form Factors in Completely Integrable Models of Quantum Field Theory

Form Factors in Completely Integrable Models of Quantum Field Theory
Author: F. A. Smirnov
Publisher: World Scientific
Total Pages: 234
Release: 1992
Genre: Science
ISBN: 9789810202446

The monograph summarizes recent achievements in the calculation of matrix elements of local operators (form factors) for completely integrable models. Particularly, it deals with sine-Gordon, chiral Gross-Neven and O(3) nonlinear s models. General requirements on form factors are formulated and explicit formulas for form factors of most fundamental local operators are presented for the above mentioned models.

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

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 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

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

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

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

Conformal Field Theories and Integrable Models

Conformal Field Theories and Integrable Models
Author: Zalan Horvath
Publisher: Springer
Total Pages: 254
Release: 2014-03-12
Genre: Science
ISBN: 9783662141106

In the last few years we have witnessed an upsurge of interest in exactly solvable quantum field theoretical models in many branches of theoretical physics ranging from mathematical physics through high-energy physics to solid states. This book contains six pedagogically written articles meant as an introduction for graduate students to this fascinating area of mathematical physics. It leads them to the front line of present-day research. The topics include conformal field theory and W algebras, the special features of 2d scattering theory as embodied in the exact S matrices and the form factor studies built on them, the Yang--Baxter equations, and the various aspects of the Bethe Ansatz systems.

Factorization and Integrable Systems

Factorization and Integrable Systems
Author: Israel Gohberg
Publisher: Springer Science & Business Media
Total Pages: 234
Release: 2003-04-24
Genre: Gardening
ISBN: 9783764369385

This volume comprises the specially prepared lecture notes of a a Summer School on "Factorization and Integrable Systems" held in September 2000 at the University of Algarve in Portugal. The main aim of the school was to review the modern factorization theory and its application to classical and quantum integrable systems. The program consisted of a number of short courses given by leading experts in the field.

Exact Integrability in Quantum Field Theory

Exact Integrability in Quantum Field Theory
Author:
Publisher:
Total Pages:
Release: 1980
Genre:
ISBN:

The treatment of exactly integrable systems in various branches of two-dimensional classical and quantum physics has recently been placed in a unified framework by the development of the quantum inverse method. This method consolidates a broad range of developments in classical nonlinear wave (soliton) physics, statistical mechanics, and quantum field theory. The essential technique for analyzing exactly integrable quantum systems was invested by Bethe in 1931. The quantum-mechanical extension of the inverse scattering method and its relationship to the methods associated with Bethe's ansatz are examined here. (RWR).