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

/ Authors

/ Abstract

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

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

/ Authors

S. Leble, A. Yurov

/ Abstract

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