Integrable Quantum Field Theories, in the Bulk and with a Boundary

Abstract

This thesis considers massive field theories in 1+1 dimensions known as affine Toda quantum field theories. We first consider the boundary sine-Gordon model, deriving a complete picture of the boundary bound state structure for general integrable boundary conditions, and then more general ATFTs in the bulk, discovering a "generalised bootstrap" equation which explicitly encodes the Lie algebra into the S-matrix. This last is related to a number of S-matrix identities, as well as a generalisation of the idea that the conserved charges of the theory form an eigenvector of the Cartan matrix.

Ph.D. thesis, Durham, LaTeX, 112 pages, 6 eps figures, uses fancyheadings.sty

References in corpus (18)

• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime
• Factorized Scattering in the Presence of Reflecting Boundaries
• Dynkin TBA's
• Bound State Boundary S-matrix of the sine-Gordon Model
• Exact S-Matrices for Nonsimply-Laced Affine Toda Theories
• Deformations of W-algebras associated to simple Lie algebras
• On a generalised bootstrap principle
• The boundary sine-Gordon theory: classical and semi-classical analysis
• Generalisations of the Coleman-Thun mechanism and boundary reflection factors
• Boundary spectrum in the sine-Gordon model with Dirichlet boundary conditions
• Boundary Sine-Gordon Interactions at the Free Fermion Point
• On duality and reflection factors for the sinh-Gordon model
• On the universal Representation of the Scattering Matrix of Affine Toda Field Theory
• Exact two-particle Matrix Elements in S-Matrix Preserving Deformation of Integrable QFTs
• Integrable field theory with boundary conditions
• S-matrices and bi-linear sum rules of conserved charges in affine Toda field theories
• S-Matrix Identities in Affine Toda Field Theories

Cited by in corpus (5)

• The spectrum of boundary states in sine-Gordon model with integrable boundary conditions
• Semiclassical analysis of defect sine-Gordon theory
• Some semi-classical issues in boundary sine-Gordon model
• N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory
• N=1 Supersymmetric Boundary Bootstrap