Langevin Simulation of Scalar Fields: Additive and Multiplicative Noises and Lattice Renormalization

Abstract

We consider the Langevin lattice dynamics for a spontaneously broken lambda phi4 scalar field theory where both additive and multiplicative noise terms are incorporated. The lattice renormalization for the corresponding stochastic Ginzburg-Landau-Langevin and the subtleties related to the multiplicative noise are investigated.

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