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9781402007606

Statistical Field Theories

by ;
  • ISBN13:

    9781402007606

  • ISBN10:

    1402007604

  • Format: Hardcover
  • Copyright: 2002-08-01
  • Publisher: Kluwer Academic Pub
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Summary

Recent developments in theoretical physics include new instances of the unification of quite different phenomena. The theoretical community is challenged by the growing interactions between high-energy physics, statistical physics, and condensed matter physics. The common language, though, is exact solutions of two-dimensional and conformable field theories. This volume is a faithful representation of this interdisciplinary domain. Conformable and integrable field theories have been active research topics for several decades. The main recent developments concern the boundary effects and applications to disordered systems. The number of applications of the exact methods to condensed-matter problems has been growing over the years. Nowadays it is widely recognized that strongly interacting systems in low dimensions can be successfully described by integrable and conformable theories. This volume is an indispensable aid to those seeking to find their way in this domain.

Table of Contents

Preface ix
Part I INTEGRABLE MODELS AND CONFORMAL FIELD THEORIES
Field Theory of Scaling Lattice Models: The Potts Antiferromagnet
3(10)
Gesualdo Delfino
The ODE/IM Correspondence and PT-symmetric Quantum Mechanics
13(12)
Patrick Dorey
Clare Dunning
Roberto Tateo
Coupled Models W D(p)3: Their Fixed Points
25(8)
Vladimir S. Dotsenko
Xuan Son Nguyen
Raoul Santachiara
The Combinatorics of Alternating Tangles: From Theory to Computerized Enumeration
33(14)
Jesper Lykke Jacobsen
Paul Zinn-Justin
On the Sine-Gordon One-Point Functions
47(10)
Rubik H. Poghossian
On Vertex Operators and the Normalization of Form Factors
57(10)
Yaroslav Pugai
Integrable Chain Models with Staggered R-matrices
67(12)
Ara G. Sedrakyan
On the Quantization of Affine Jacobi Varieties of Spectral Curves
79(12)
Fedor A. Smirnov
Vadim Zeitlin
Rational Conformal Field Theory in Four Dimensions
91(14)
Nikolay M. Nikolov
Yassen S. Stanev
Ivan T. Todorov
Perturbed Conformal Field Theory on a Sphere
105(14)
Alexei B. Zamolodchikov
Part II INTEGRABLE AND CONFORMAL FIELD THEORIES WITH BOUDARIES
Two-boundary Integrability and the Josephson Current in a Luttinger Liquid
119(10)
Jean-Szebastien Caux
Hubert Saleur
Francesco Siano
Coupling the Sine-Gordon Field Theory to a Mechanical System at the Boundary
129(10)
Pascal Baseilhac
Gustav W. Delius
Alan George
Reflection Amplitudes and Expectation Values of Fields in Integrable Boundary Theories
139(14)
Vladimir A. Fateev
Integrable Boundary Conditions for the O(N) Nonlinear Sigma Model
153(8)
Marco Moriconi
Verlinde Nim-reps for Charge Conjugate sl(N) WZW Theory
161(10)
Valentina B. Petkova
Jean-Bernard Zuber
Open-String Models with Broken Supersymmetry
171(14)
Augusto Sagnotti
Conformal Boundary Conditions and 3D Topological Field Theory
185(10)
Jurgen Fuchs
Ingo Runkel
Christoph Schweigert
The Spectrum of Boundary Sine-Gordon Theory
195(12)
Zoltan Bajnok
Laszlo Palla
Gabor Takacs
Part III DISORDERED SYSTEMS
A Classification of Non-Hermitian Random Matrices
207(8)
Denis Bernard
Andre LeClair
The Stress Tensor in Quenched Random Systems
215(8)
John Cardy
Taking N → 0 with S Matrices
223(16)
Paul Fendley
Scattering in Quantum Field Theories with Supergroup Invariance
239(12)
Hubert Saleur
Birgit Wehefritz-Kaufmann
Nishimori Point in Random-Bond Ising and Potts Models in 2D
251(12)
Andreas Honecker
Jesper L. Jacobsen
Marco Picco
Pierre Pujol
2D Random Dirac Ferminos: Large N Approach
263(16)
Didina Serban
Part IV QUANTUM HALL EFFECT AND CONDENSED MATTER APPLICATIONS
Impurities in One Dimension
279(10)
Sebastian Eggert
Axions, Quantum Mechanical Pumping, and Primeval Magnetic Fields
289(16)
Jurg Frohlich
Bill Pedrini
Paired and Clustered Quantum Hall States
305(12)
Kareljan Schoutens
Eddy Ardonne
Frank J.M. van Lankvelt
Integrability and Conformal Symmetry in the BCS Model
317(12)
German Sierra
Wavefunction Statistics at the Quantum Hall Critical Point
329(8)
Alexei M. Tsvelik
Aharonov-Bohm Effect in the Quantum Hall Regime and Laplacian Growth Problems
337(14)
Paul B. Wiegmann
Index 351

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