Form factors of boundary fields for the A(2)-affine Toda field theory

Castro-Alvaredo, O. (2008). Form factors of boundary fields for the A(2)-affine Toda field theory. Journal of Physics A: Mathematical and General, 41(19), doi: 10.1088/1751-8113/41/19/194005

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Abstract

In this paper we carry out the boundary form factor program for the A2-affine Toda field theory at the self-dual point. The latter is an integrable model consisting of a pair of particles which are conjugated to each other, that is , and possessing two bound states resulting from the scattering processes 1 + 1 → 2 and 2 + 2 → 1. We obtain solutions up to four-particle form factors for two families of fields which can be identified with spinless and spin-1 fields of the bulk theory. Previously known, as well as new, bulk form factor solutions are obtained as a particular limit of ours. Minimal solutions of the boundary form factor equations for all An-affine Toda field theories are given, which will serve as the starting point for a generalization of our results to higher rank algebras.

Item Type: Article
Uncontrolled Keywords: SINH-GORDON MODEL, S-MATRIX, REFLECTION FACTORS, HALF-LINE, MAGNETIC-FIELD, XXZ MODEL, CHAIN, EQUATIONS, LATTICE, SYSTEMS
Subjects: Q Science > QC Physics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/792

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