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

Sergey Leble; Anatolij Zaitsev

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arXiv · 0804.1255

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

Sergey Leble·Anatolij Zaitsev

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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.

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Sergey Leble, Anatolij Zaitsev. 2008-04-08. Quantum corrections to static solutions of phi-in-quadro and Sin-Gordon models via generalized zeta-function. https://arxiv.org/abs/0804.1255

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