Statistical Field Theories / Edition 1

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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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Product Details

  • ISBN-13: 9781402007606
  • Publisher: Springer Netherlands
  • Publication date: 8/31/2002
  • Series: Nato Science Series II: (closed), #73
  • Edition description: 2002
  • Edition number: 1
  • Pages: 351
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.81 (d)

Table of Contents

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