Cappelli A., Mussardo G. (Eds.) Statistical Field Theories

Springer Science+Business Media, Dordrecht, 2002. – 340 p. – ISBN: 1402007612Recent 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.Integrable Models and Conformal Field Theories
Field Theory of Scaling Lattice Models: The Potts Antiferromagnet
The ODE/IM Correspondence and PT-symmetric Quantum Mechanics
Coupled Models WD3(p): Their Fixed Points
The Combinatorics of Alternating Tangles: From Theory to Computerized Enumeration
On the Sine-Gordon One-Point Functions
On Vertex Operators and the Normalization of Form Factors
Integrable Giain Models with Staggered R-matrices
On the Quantization of Affine Jacobi Varieties of Spectral Curves
Rational Conformal Field Theory in Four Dimensions
Perturbed Conformal Field Theory on a Sphere
Integrable and Conformal Field Theories with Boudaries
Two-boundary Integrability and the Josephson Current in a Luttinger Liquid
Coupling the Sine-Gordon Field Theory to a Mechanical System at the Boundary
Reflection Amplitudes and Expectation Values of Fields in Integrable Boundary Theories
Integrable Boundary Conditions for the O(N) Nonlinear Sigma Model
Verlinde Nim-reps for Charge Conjugate sl(N) WZW Theory
Open-String Models with Broken Supersymmetry
Conformal Boundary Conditions and 3D Topological Field Theory
The Spectrum of Boundary Sine-Gordon Theory
Disordered Systems
A Classification of Non-Hermitian Random Matrices
The Stress Tensor in Quenched Random Systems
Taking N -> 0 with S Matrices
Scattering in Quantum Field Theories with Supergroup Invariance
Nishimori Point in Random-Bond Ising and Potts Models in 2D
2D Random Dirac Fermions: Large N Approach
Quantum Hall Effect and Condensed Matter Applications
Impurities in One Dimension
Axions, Quantum Mechanical Pumping, and Primeval Magnetic Fields
Paired and Clustered Quantum Hall States
Integrability and Conformal Symmetry in the BCS Model
Wavefunction Statistics at the Quantum Hall Critical Point
Aharonov-Bohm Effect in the Quantum Hall Regime and Laplacian Growth Problems