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

Peter Mattsson
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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.

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Peter Mattsson. 2001-11-28. Integrable Quantum Field Theories, in the Bulk and with a Boundary. https://arxiv.org/abs/hep-th/0111261

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