On the Operator Content of the Sinh-Gordon Model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/0370-2693(93)90554-U

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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