Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-10-18
J.Phys.A33:3335-3346,2000
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, no figures, LaTex
Scientific paper
10.1088/0305-4470/33/16/320
A perturbation theory for Massive Thirring Model (MTM) in radial quantization approach is developed. Investigation of the twisted sector in this theory allows us to calculate the vacuum expectation values of exponential fields $ exp iaphi (0) $ of the sine-Gordon theory in first order over Massive Thirring Models coupling constant. It appears that the apparent difficulty in radial quantization of massive theories, namely the explicite ''time'' dependence of the Hamiltonian, may be successfully overcome. The result we have obtained agrees with the exact formula conjectured by Lukyanov and Zamolodchikov and coincides with the analogous calculations recently carried out in dual angular quantization approach by one of the authors.
Mkhitaryan V. V.
Poghossian R. H.
Sedrakyan Tigran A.
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