English

The Form Factor Program: a Review and New Results - the Nested SU(N) Off-Shell Bethe Ansatz

High Energy Physics - Theory 2008-12-19 v4

Abstract

The purpose of the ''bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct explicitly a model in terms of its Wightman functions. In this article, this program is mainly illustrated in terms of the sinh-Gordon model and the SU(N) Gross-Neveu model. The nested off-shell Bethe ansatz for an SU(N) factorizing S-matrix is constructed. We review some previous results on sinh-Gordon form factors and the quantum operator field equation. The problem of how to sum over intermediate states is considered in the short distance limit of the two point Wightman function for the sinh-Gordon model.

Keywords

Cite

@article{arxiv.hep-th/0609130,
  title  = {The Form Factor Program: a Review and New Results - the Nested SU(N) Off-Shell Bethe Ansatz},
  author = {Hratchya M. Babujian and Angela Foerster and Michael Karowski},
  journal= {arXiv preprint arXiv:hep-th/0609130},
  year   = {2008}
}

Comments

This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/