Statistical Field Theories / Edition 1

Statistical Field Theories / Edition 1

by Andrea Cappelli
     
 

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ISBN-10: 1402007604

ISBN-13: 9781402007606

Pub. Date: 08/31/2002

Publisher: Springer Netherlands

More than two-dozen contributions from international researchers report on the state of the art in statistical field theories. They discuss new methods of solution, including current developments in conformal field theory. Other topics include, for example, boundary effects in integrable models and condensed matter systems with quenched disorder. The volume concludes

Overview

More than two-dozen contributions from international researchers report on the state of the art in statistical field theories. They discuss new methods of solution, including current developments in conformal field theory. Other topics include, for example, boundary effects in integrable models and condensed matter systems with quenched disorder. The volume concludes with a section devoted mostly to the quantum Hall effect and its many facets. The editors are with the National Institute of Nuclear Physics in Italy. Annotation (c)2003 Book News, Inc., Portland, OR

Product Details

ISBN-13:
9781402007606
Publisher:
Springer Netherlands
Publication date:
08/31/2002
Series:
Nato Science Series II: (closed), #73
Edition description:
2002
Pages:
351
Product dimensions:
9.21(w) x 6.14(h) x 0.81(d)

Table of Contents

Prefaceix
Part IIntegrable Models and Conformal Field Theories
Field Theory of Scaling Lattice Models: The Potts Antiferromagnet3
The ODE/IM Correspondence and PT-symmetric Quantum Mechanics13
Coupled Models W D[superscript (p) subscript 3]: Their Fixed Points25
The Combinatorics of Alternating Tangles: From Theory to Computerized Enumeration33
On the Sine-Gordon One-Point Functions47
On Vertex Operators and the Normalization of Form Factors57
Integrable Chain Models with Staggered R-matrices67
On the Quantization of Affine Jacobi Varieties of Spectral Curves79
Rational Conformal Field Theory in Four Dimensions91
Perturbed Conformal Field Theory on a Sphere105
Part IIIntegrable and Conformal Field Theories with Boudaries
Two-boundary Integrability and the Josephson Current in a Luttinger Liquid119
Coupling the Sine-Gordon Field Theory to a Mechanical System at the Boundary129
Reflection Amplitudes and Expectation Values of Fields in Integrable Boundary Theories139
Integrable Boundary Conditions for the O(N) Nonlinear Sigma Model153
Verlinde Nim-reps for Charge Conjugate sl(N) WZW Theory161
Open-String Models with Broken Supersymmetry171
Conformal Boundary Conditions and 3D Topological Field Theory185
The Spectrum of Boundary Sine-Gordon Theory195
Part IIIDisordered Systems
A Classification of Non-Hermitian Random Matrices207
The Stress Tensor in Quenched Random Systems215
Taking N to 0 with S Matrices223
Scattering in Quantum Field Theories with Supergroup Invariance239
Nishimori Point in Random-Bond Ising and Potts Models in 2D251
2D Random Dirac Fermions: Large N Approach263
Part IVQuantum Hall Effect and Condensed Matter Applications
Impurities in One Dimension279
Axions, Quantum Mechanical Pumping, and Primeval Magnetic Fields289
Paired and Clustered Quantum Hall States305
Integrability and Conformal Symmetry in the BCS Model317
Wavefunction Statistics at the Quantum Hall Critical Point329
Aharonov-Bohm Effect in the Quantum Hall Regime and Laplacian Growth Problems337
Index351

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