On the Operator Content of the Sinh-Gordon Model

A. Koubek; G. Mussardo

doi:10.1016/0370-2693(93)90554-U

paper

On the Operator Content of the Sinh-Gordon Model

arXiv:hep-th/9306044 · doi:10.1016/0370-2693(93)90554-U

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 $F_{2 n}$ and $F_{2 n - 1}$ . Analyzing the cluster property of the form factors, a particular class of these solutions can be identified with the matrix elements of the operators $e^{k g ϕ}$ . We also present the complete expression of the form factors of the elementary field $ϕ (x)$ and the trace of the energy-momentum tensor $Θ (x)$ .

ISAS/EP/93/42, to appear in Phys. Lett. B