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On the operator content of the sinh-Gordon model

Koubek, AInternational School for Advanced Studies, Via Beirut 2-4, 34013 Trieste, ItalyMussardo, GInternational School for Advanced Studies, Via Beirut 2-4, 34013 Trieste, Italy
1993en
ABI

Abstract

We classify the operator content of local hermitian scalar operators in the Sinh-Gordon model by means of independent solutions of the form-factor bootstrap equations. The corresponding linear space is organized into a tower-like structure of dimension $n$ for the form factors $F_{2n}$ and $F_{2n-1}$. Analyzing the cluster property of the form factors, a particular class of these solutions can be identified with the matrix elements of the operators $e^{k g\\phi}$. We also present the complete expression of the form factors of the elementary field $\\phi(x)$ and the trace of the energy-momentum tensor $\\Theta(x)$.

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