Towards the Construction of Wightman Functions of Integrable Quantum Field Theories

Details Towards the Construction of Wightman Functions of Integrable Quantum Field Theories Towards the Construction of Wightman Functions of Integrable Quantum Field Theories

2003-01-14

arxiv.org/abs/hep-th/0301088v2

Int.J.Mod.Phys. A19S2 (2004) 34-49

Physics

High Energy Physics

High Energy Physics - Theory

LATEX 18 pages, Talk presented at the '6th International Workshop on Conformal Field Theories and Integrable Models', in Chern

Scientific paper

10.1142/S0217751X04020294

The purpose of the ``bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct a model in terms of its Wightman functions explicitly. In this article, this program is mainly illustrated in terms of the sine-Gordon and the sinh-Gordon model and (as an exercise) the scaling Ising model. We review some previous results on sine-Gordon breather form factors and quantum operator equations. The problem to sum over intermediate states is attacked in the short distance limit of the two point Wightman function for the sinh-Gordon and the scaling Ising model.

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