Initial problem for heat equation with multisoliton inhomogeneity and one-loop quantum corrections

Sergey Leble; Artem Yurov

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Initial problem for heat equation with multisoliton inhomogeneity and one-loop quantum corrections

Sergey Leble·Artem Yurov

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Abstract

The generalized zeta-function is built by a dressing method based on the Darboux covariance of the heat equation and used to evaluate the correspondent functional integral in quasiclassical approximation. Quantum corrections to a kink-like solutions of Landau-Ginzburg model are calculated.

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Sergey Leble, Artem Yurov. 2006-04-20. Initial problem for heat equation with multisoliton inhomogeneity and one-loop quantum corrections. https://arxiv.org/abs/quant-ph/0604154

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