Sine-Gordon Expectation Values of Exponential Fields With Variational Perturbation Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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only abbreviated the original, 12 pages, 2 EPS figures, to be published in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2004.10.001

In this paper, expectation values of exponential fields in the 2-dimensional Euclidean sine-Gordon field theory are calculated with variational perturbation approach up to the second order. Our numerical analysis indicates that for not large values of the exponential-field parameter $a$, our results agree very well with the exact formula conjectured by Lukyanov and Zamolodchikov in Nucl. Phys. B 493, 571 (1997).

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