NATO Science Series II

Mathematics, Physics and Chemistry

By: Andrea Cappelli (Editor), Giuseppe Mussardo (Editor)

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Hardcover | 31 August 2002

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364 Pages

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24.13 x 16.51 x 2.54

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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.

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Preface	p. ix
Integrable Models and Conformal Field Theories
Field Theory of Scaling Lattice Models: The Potts Antiferromagnet	p. 3
The ODE/IM Correspondence and PT-symmetric Quantum Mechanics	p. 13
Coupled Models W D[superscript (p) subscript 3]: Their Fixed Points	p. 25
The Combinatorics of Alternating Tangles: From Theory to Computerized Enumeration	p. 33
On the Sine-Gordon One-Point Functions	p. 47
On Vertex Operators and the Normalization of Form Factors	p. 57
Integrable Chain Models with Staggered R-matrices	p. 67
On the Quantization of Affine Jacobi Varieties of Spectral Curves	p. 79
Rational Conformal Field Theory in Four Dimensions	p. 91
Perturbed Conformal Field Theory on a Sphere	p. 105
Integrable and Conformal Field Theories with Boudaries
Two-boundary Integrability and the Josephson Current in a Luttinger Liquid	p. 119
Coupling the Sine-Gordon Field Theory to a Mechanical System at the Boundary	p. 129
Reflection Amplitudes and Expectation Values of Fields in Integrable Boundary Theories	p. 139
Integrable Boundary Conditions for the O(N) Nonlinear Sigma Model	p. 153
Verlinde Nim-reps for Charge Conjugate sl(N) WZW Theory	p. 161
Open-String Models with Broken Supersymmetry	p. 171
Conformal Boundary Conditions and 3D Topological Field Theory	p. 185
The Spectrum of Boundary Sine-Gordon Theory	p. 195
Disordered Systems
A Classification of Non-Hermitian Random Matrices	p. 207
The Stress Tensor in Quenched Random Systems	p. 215
Taking N to 0 with S Matrices	p. 223
Scattering in Quantum Field Theories with Supergroup Invariance	p. 239
Nishimori Point in Random-Bond Ising and Potts Models in 2D	p. 251
2D Random Dirac Fermions: Large N Approach	p. 263
Quantum Hall Effect and Condensed Matter Applications
Impurities in One Dimension	p. 279
Axions, Quantum Mechanical Pumping, and Primeval Magnetic Fields	p. 289
Paired and Clustered Quantum Hall States	p. 305
Integrability and Conformal Symmetry in the BCS Model	p. 317
Wavefunction Statistics at the Quantum Hall Critical Point	p. 329
Aharonov-Bohm Effect in the Quantum Hall Regime and Laplacian Growth Problems	p. 337
Index	p. 351
Table of Contents provided by Ingram. All Rights Reserved.

NATO Science Series II

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At a Glance

Hardcover

Shipping

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