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On quantum corrections to classical solutions via generalized zeta-function

Anatoly Zaitsev·Sergey Leble
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Abstract

A general algebraic method of quantum corrections evaluations is presented. Quantum corrections to a few classical solutions of Landau-Ginzburg model (phi-in-quadro) are calculated in arbitrary dimensions. The Green function for heat equation with soliton potential is constructed by Darboux transformation. The generalized zeta-function is used to evaluate the functional integral and corrections to mass in quasiclassical approximation. Some natural generalizations for matrix equations are discussed in conclusion.

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Anatoly Zaitsev, Sergey Leble. 2006-12-06. On quantum corrections to classical solutions via generalized zeta-function. https://arxiv.org/abs/quant-ph/0612043

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