Sine-Gordon Effective Potential beyond Gaussian Approximation
High Energy Physics - Theory
2009-11-07 v2
Abstract
Combining an optimized expansion scheme in the spirit of the background field method with the Coleman's normal-ordering renormalization prescription, we calculate the effective potential of sine-Gordon field theory beyond the Gaussian approximation. The first-order result is just the sine-Gordon Gaussian effective potential (GEP). For the range of the coupling beta^2 <= 3.4 pi (an approximate value), a calculation with Mathematica indicates that the result up to the second order is finite without any further renormalization procedure and tends to improve the GEP more substantially while beta^2 increases from zero.
Cite
@article{arxiv.hep-th/0207261,
title = {Sine-Gordon Effective Potential beyond Gaussian Approximation},
author = {Wen-Fa Lu and Chul Koo Kim and Kyun Nahm},
journal= {arXiv preprint arXiv:hep-th/0207261},
year = {2009}
}
Comments
9 pages and 4 EPS figures, the revised version with literal changes and minor corrections to typo errors in equations