Initial problem for heat equation with multisoliton inhomogeneity and one-loop quantum corrections
Sergey Leble, Artem Yurov
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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