Form Factors In Completely Integrable Models Of Quantum Field Theory
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| 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.
| Author | : Mo-lin Ge |
| Publisher | : World Scientific |
| Total Pages | : 209 |
| Release | : 1990-09-24 |
| Genre | : Science |
| ISBN | : 9814551198 |
The Proceedings consists of 6 lectures each from Prof L Takhtajan and Prof F Smirnov which were presented during the workshop.
| 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.
| Author | : Balázs Pozsgay |
| Publisher | : LAP Lambert Academic Publishing |
| Total Pages | : 152 |
| Release | : 2010-08 |
| Genre | : |
| ISBN | : 9783838383514 |
The study of integrable models is one of the most exciting areas of modern theoretical physics. It has inspired physicists and mathematicians over the last 40 years, with a continuing progress in theoretical ideas. On the other hand, there are direct connections to experimental physics: in the last ten years it has become possible to realize integrable models with the help of optical and magnetic traps. This presents a novel opportunity to study strongly interacting quantum systems. The present work is a PhD thesis which concerns a certain sub-class of integrable models, namely integrable Quantum Field Theories. The main goal of the thesis is to obtain correlation functions of local observables at finite temperatures. A new finite volume regularization scheme is introduced, which is built upon the knowledge of form factors in the finite volume. The thesis also includes an introductory chapter, where the basic concepts of integrable QFT and Conformal Field Theory are explained.
| Author | : Molin Ge |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 596 |
| Release | : 2016-02-16 |
| Genre | : Science |
| ISBN | : 9814340960 |
This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.
| Author | : Hrachia M. Babujian |
| Publisher | : |
| Total Pages | : 55 |
| Release | : 1998 |
| Genre | : |
| ISBN | : |
| 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
| 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)
| Author | : G. Mussardo |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 778 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0199547580 |
A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.
| Author | : Jan de Gier |
| Publisher | : Springer |
| Total Pages | : 691 |
| Release | : 2019-03-13 |
| Genre | : Mathematics |
| ISBN | : 3030041611 |
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in its second year, 2017: - Hypergeometric Motives and Calabi–Yau Differential Equations - Computational Inverse Problems - Integrability in Low-Dimensional Quantum Systems - Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger’s Book - Combinatorics, Statistical Mechanics, and Conformal Field Theory - Mathematics of Risk - Tutte Centenary Retreat - Geometric R-Matrices: from Geometry to Probability The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
