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

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

1999-04-28

arxiv.org/abs/hep-th/9904194v2

Nucl.Phys. B570 (2000) 506-522

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, no figures, LaTeX file

Scientific paper

10.1016/S0550-3213(99)00728-2

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.

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