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

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

2007-11-12

arxiv.org/abs/0711.1866v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 10 eps figures

Scientific paper

We consider the nonequilibrium dynamics of the formation of a condensate in a spontaneously broken lambda phi4 scalar field theory, incorporating additive and multiplicative noise terms to study the role of fluctuation and dissipation. The corresponding stochastic Ginzburg-Landau-Langevin (GLL) equation is derived from the effective action, and solved on a (3+1)-dimensional lattice. Particular attention is devoted to the renormalization of the stochastic GLL equation in order to obtain lattice-independent equilibrium results.

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