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 sineGordon 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 Smatrix. This last is related to a number of Smatrix identities, as well as a generalisation of the idea that the conserved charges of the theory form an eigenvector of the Cartan matrix.
 Publication:

arXiv eprints
 Pub Date:
 November 2001
 arXiv:
 arXiv:hepth/0111261
 Bibcode:
 2001hep.th...11261M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Ph.D. thesis, Durham, LaTeX, 112 pages, 6 eps figures, uses fancyheadings.sty