vix.ing · top · new · best · stats · spec

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

2006/09/30 by H. Babujian, Hratchya M. Babujian, Angela Foerster +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Black Holes and Theoretical Physics #Field (mathematics) #Hyperbolic function #Integrable system #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Waves and Solitons #Operator (biology) #Physics #Pure mathematics #Quantum field theory #Quantum mechanics #hep-th

paper · pdf · doi:10.3842/sigma.2006.082

published as SIGMA 2:082,2006 · 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/

arxiv created 2006/11/23 · openalex publication_date 2006/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

Cited by