Sine-Gordon expectation values of exponential fields with variational perturbation theory

In this Letter, 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...

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Bibliographic Details
Published in:Physics letters. B 2004-11, Vol.602 (3-4), p.261-268
Main Author: Lu, Wen-Fa
Format: Article
Language:English
Subjects:
Exact sciences and technology
Gauge field theories
General theory of fields and particles
Non-perturbation quantum field theory
One-point function
Other nonperturbative techniques
Physics
Sine-Gordon field theory
The physics of elementary particles and fields
Variational perturbation approach
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Summary:In this Letter, 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 [Nucl. Phys. B 493 (1997) 571].
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2004.10.001