English

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

High Energy Physics - Theory 2009-10-31 v2

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 gg. 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 gg of the exact formula conjectured by S.Lukyanov and A.Zamolodchikov.

Keywords

Cite

@article{arxiv.hep-th/9904194,
  title  = {Perturbation Theory in Angular Quantization Approach and the Expectation Values of Exponential Fields in Sin-Gordon Model},
  author = {R. H. Poghossian},
  journal= {arXiv preprint arXiv:hep-th/9904194},
  year   = {2009}
}

Comments

21 pages, no figures, LaTeX file

R2 v1 2026-07-22T16:15:10.844Z