Hratchya M. Babujian, Angela Foerster, Michael Karowski, “The Form Factor Program: a Review and New Results – the Nested <nobr>$\mathrm{SU}(N)$</nobr> Off-Shell Bethe Ansatz”, SIGMA, 2006, Volume 2,082, 16 pp.

This article is cited in 20 papers

The Form Factor Program: a Review and New Results – the Nested $\mathrm{SU}(N)$ Off-Shell Bethe Ansatz

Hratchya M. Babujian^a, Angela Foerster^b, Michael Karowski^c

^a Yerevan Physics Institute, Alikhanian Brothers 2, Yerevan, 375036, Armenia
^b Instituto de Física da UFRGS, Av. Bento Gonçalves 9500, Porto Alegre, RS - Brazil
^c Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

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: integrable quantum field theory; form factors.

MSC: 81T08; 81T10; 81T40

Received: September 29, 2006; in final form November 16, 2006; Published online November 23, 2006

Language: English

DOI: 10.3842/SIGMA.2006.082