Quantum corrections to static solutions of phi-in-quadro and Sin-Gordon models via generalized zeta-function
Quantum Physics
2008-04-09 v1
Abstract
A general algebraic method of quantum corrections evaluation is presented. Quantum corrections to a few classical solutions (kinks and periodic) of Ginzburg-Landau (phi-in-quadro) and Sin-Gordon models are calculated in arbitrary dimensions. The Green function for heat equation with a soliton potential is constructed by means of Laplace transformation theory and Hermit equation for the Green function transform. The generalized zeta-function is used to evaluate the functional integral and quantum corrections to mass in quasiclassical approximation.
Keywords
Cite
@article{arxiv.0804.1255,
title = {Quantum corrections to static solutions of phi-in-quadro and Sin-Gordon models via generalized zeta-function},
author = {Sergey Leble and Anatolij Zaitsev},
journal= {arXiv preprint arXiv:0804.1255},
year = {2008}
}
Comments
16 pages, 3 figures, partially should br published in RDND2008 - Proceedings