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

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

2001-11-28

arxiv.org/abs/hep-th/0111261v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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