Integrable Quantum Field Theories and Their Application

Integrable Quantum Field Theories and Their Application PDF Author: Changrim Ahn
Publisher: World Scientific
ISBN: 9789812799739
Category : Mathematics
Languages : en
Pages : 360

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Book Description
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 Application

Integrable Quantum Field Theories and Their Application PDF Author: Changrim Ahn
Publisher: World Scientific
ISBN: 9789812799739
Category : Mathematics
Languages : en
Pages : 360

Get Book Here

Book Description
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

Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School PDF Author: Changrim Ahn
Publisher: World Scientific
ISBN: 9814490180
Category : Science
Languages : en
Pages : 354

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Book Description
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 PDF Author: L. Bonora
Publisher: Springer Science & Business Media
ISBN: 1489915168
Category : Science
Languages : en
Pages : 330

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

Nonperturbative Quantum-field-theoretic Methods and Their Applications

Nonperturbative Quantum-field-theoretic Methods and Their Applications PDF Author: Z. Horv th
Publisher: World Scientific
ISBN: 9789812799968
Category : Science
Languages : en
Pages : 474

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Book Description
Contents: Conformal Boundary Conditions OCo and What They Teach Us (V B Petkova & J-B Zuber); A Physical Basis for the Entropy of the AdS 3 Black Hole (S Fernando & F Mansouri); Spinon Formulation of the Kondo Problem (A Klmper & J R Reyes-Martinez); Boundary Integrable Quantum Field Theories (P Dorey); Finite Size Effects in Integrable Quantum Field Theories (F Ravanini); Nonperturbative Analysis of the Two-Frequency Sine-Gordon Model (Z Bajnok et al.); Screening in Hot SU(2) Gauge Theory and Propagators in 3D Adjoint Higgs Model (A Cucchieri et al.); Effective Average Action in Statistical Physics and Quantum Field Theory (Ch Wetterich); Phase Transitions in Non-Hermitean Matrix Models and the OC Single RingOCO Theorem (J Feinberg et al.); Unraveling the Mystery of Flavor (A Falk); The Nahm Transformation on R 2 X T 2 (C Ford); A 2D Integrable Axion Model and Target Space Duality (P Forgics); Supersymmetric Ward Identities and Chiral Symmetry Breaking in SUSY QED (M L Walker); and other papers. Readership: Theoretical, mathematical and high energy physicists."

Integrable Systems in Quantum Field Theory and Statistical Mechanics

Integrable Systems in Quantum Field Theory and Statistical Mechanics PDF Author: M. Jimbo
Publisher: Elsevier
ISBN: 1483295257
Category : Science
Languages : en
Pages : 695

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Book Description
Integrable Sys Quantum Field Theory

Non-perturbative QFT Methods and Their Applications

Non-perturbative QFT Methods and Their Applications PDF Author: Z. Horv th
Publisher: World Scientific
ISBN: 9810246498
Category : Science
Languages : en
Pages : 471

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Book Description
http://www.worldscientific.com/worldscibooks/10.1142/4727

Non-perturbative Qft Methods And Their Applications, Procs Of The Johns Hopkins Workshop On Current Problems In Particle Theory 24

Non-perturbative Qft Methods And Their Applications, Procs Of The Johns Hopkins Workshop On Current Problems In Particle Theory 24 PDF Author: Zalan Horvath
Publisher: World Scientific
ISBN: 9814490830
Category : Science
Languages : en
Pages : 471

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Book Description
Contents:Conformal Boundary Conditions — and What They Teach Us (V B Petkova & J-B Zuber)A Physical Basis for the Entropy of the AdS3 Black Hole (S Fernando & F Mansouri)Spinon Formulation of the Kondo Problem (A Klümper & J R Reyes-Martinez)Boundary Integrable Quantum Field Theories (P Dorey)Finite Size Effects in Integrable Quantum Field Theories (F Ravanini)Nonperturbative Analysis of the Two-Frequency Sine-Gordon Model (Z Bajnok et al.)Screening in Hot SU(2) Gauge Theory and Propagators in 3D Adjoint Higgs Model (A Cucchieri et al.)Effective Average Action in Statistical Physics and Quantum Field Theory (Ch Wetterich)Phase Transitions in Non-Hermitean Matrix Models and the “Single Ring” Theorem (J Feinberg et al.)Unraveling the Mystery of Flavor (A Falk)The Nahm Transformation on R2 X T2 (C Ford)A 2D Integrable Axion Model and Target Space Duality (P Forgács)Supersymmetric Ward Identities and Chiral Symmetry Breaking in SUSY QED (M L Walker)and other papers Readership: Theoretical, mathematical and high energy physicists. Keywords:

Yang-baxter Systems, Nonlinear Models And Their Applications - Proceedings Of The Apctp-nankai Symposium

Yang-baxter Systems, Nonlinear Models And Their Applications - Proceedings Of The Apctp-nankai Symposium PDF Author: B K Chung
Publisher: World Scientific
ISBN: 9814543241
Category : Science
Languages : en
Pages : 206

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Book Description


Seiberg-Witten Theory and Integrable Systems

Seiberg-Witten Theory and Integrable Systems PDF Author: Andrei Marshakov
Publisher: World Scientific
ISBN: 9789810236366
Category : Science
Languages : en
Pages : 268

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Book Description
In the past few decades many attempts have been made to search for a consistent formulation of quantum field theory beyond perturbation theory. One of the most interesting examples is the Seiberg-Witten ansatz for the N=2 SUSY supersymmetric Yang-Mills gauge theories in four dimensions. The aim of this book is to present in a clear form the main ideas of the relation between the exact solutions to the supersymmetric (SUSY) Yang-Mills theories and integrable systems. This relation is a beautiful example of reformulation of close-to-realistic physical theory in terms widely known in mathematical physics ? systems of integrable nonlinear differential equations and their algebro-geometric solutions.First, the book reviews what is known about the physical problem: the construction of low-energy effective actions for the N=2 Yang-Mills theories from the traditional viewpoint of quantum field theory. Then the necessary background information from the theory of integrable systems is presented. In particular the author considers the definition of the algebro-geometric solutions to integrable systems in terms of complex curves or Riemann surfaces and the generating meromorphic 1-form. These definitions are illustrated in detail on the basic example of the periodic Toda chain.Several ?toy-model? examples of string theory solutions where the structures of integrable systems appear are briefly discussed. Then the author proceeds to the Seiberg-Witten solutions and show that they are indeed defined by the same data as finite-gap solutions to integrable systems. The complete formulation requires the introduction of certain deformations of the finite-gap solutions described in terms of quasiclassical or Whitham hierarchies. The explicit differential equations and direct computations of the prepotential of the effective theory are presented and compared when possible with the well-known computations from supersymmetric quantum gauge theories.Finally, the book discusses the properties of the exact solutions to SUSY Yang-Mills theories and their relation to integrable systems in the general context of the modern approach to nonperturbative string or M-theory.

Quantum Field Theories in Two Dimensions

Quantum Field Theories in Two Dimensions PDF Author: A. B. Zamolodchikov
Publisher:
ISBN:
Category : Quantum field theory
Languages : en
Pages : 0

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Book Description