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

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.

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/

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Cited by in corpus (11)

• On the thermodynamic limit of form factor expansions of dynamical correlation functions in the massless regime of the XXZ spin $1/2$ chain
• Lectures on S-matrices and Integrability
• Form factors in the presence of integrable defects
• Negative energy densities in integrable quantum field theories at one-particle level
• Asymptotic behaviour of two-point functions in multi-species models
• SO(d,1)-invariant Yang-Baxter operators and the dS/CFT correspondence
• Towards an operator-algebraic construction of integrable global gauge theories
• Lee-Yang Model in Presence of Defects
• Form factors of the O(6) Gross Neveu-model
• Relativistische Materie in zwei Raum-Zeit-Dimensionen
• On the Integrable Structure of Super Yang-Mills Scattering Amplitudes