Quantum corrections to static solutions of phi-in-quadro and Sin-Gordon models via generalized zeta-function

Details Quantum corrections to static solutions of phi-in-quadro and Sin-Gordon models via generalized zeta-function Quantum corrections to static solutions of phi-in-quadro and Sin-Gordon models via generalized zeta-function

2008-04-08

arxiv.org/abs/0804.1255v1

Physics

Quantum Physics

16 pages, 3 figures, partially should br published in RDND2008 - Proceedings

Scientific paper

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.

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