Perturbation Theory in Angular Quantization Approach and the Expectation Values of Exponential Fields in Sin-Gordon Model

Abstract

In angular quantization approach a perturbation theory for the Massive Thirring Model (MTM) is developed, which allows us to calculate Vacuum Expectation Values of exponential fields in sin-Gordon theory near the free fermion point in first order of MTM coupling constant $g$. The Hankel-transforms play an important role when carrying out this calculations. The expression we have found coincides with that of the direct expansion over $g$ of the exact formula conjectured by S.Lukyanov and A.Zamolodchikov.

21 pages, no figures, LaTeX file

References in corpus (1)

• Expectation values of local fields for a two-parameter family of integrable models and related perturbed conformal field theories

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