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
Correlation Functions In Integrable Quantum Field Theory
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Quantum Inverse Scattering Method and Correlation Functions
| Author | : V. E. Korepin |
| Publisher | : Cambridge University Press |
| Total Pages | : 582 |
| Release | : 1997-03-06 |
| Genre | : Mathematics |
| ISBN | : 9780521586467 |
The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Go rdon equation or the quantum non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians.The present work is an introduction to this important and exciting area. It consists of four parts. The first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results.The book will be essential reading for all mathematical physicists working in field theory and statistical physics.
Fifty Years of Mathematical Physics
| 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.
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
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 Systems in Quantum Field Theory and Statistical Mechanics
| Author | : M. Jimbo |
| Publisher | : Elsevier |
| Total Pages | : 695 |
| Release | : 2014-05-19 |
| Genre | : Science |
| ISBN | : 1483295257 |
Integrable Sys 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.
Quantum Field Theory in Condensed Matter Physics
| Author | : Alexei M. Tsvelik |
| Publisher | : Cambridge University Press |
| Total Pages | : 361 |
| Release | : 2007-01-18 |
| Genre | : Science |
| ISBN | : 1139440500 |
This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.
Factorization Algebras in Quantum Field Theory
| Author | : Kevin Costello |
| Publisher | : Cambridge University Press |
| Total Pages | : 399 |
| Release | : 2017 |
| Genre | : Mathematics |
| ISBN | : 1107163102 |
This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.
Statistical Field Theory
| 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.
