The Effects of Multiplicative Noise in Relativistic Phase Transitions

Abstract

Effective stochastic equations for the continuous transitions of relativistic quantum fields inevitably contain multiplicative noise. We examine the effect of such noise in a numerical simulation of a temperature quench in a 1+1 dimensional scalar theory. We look at out-of-equilibrium defect formation and compare our results with those of stochastic equations with purely additive noise.

6 pages, 4 figures, submitted to PRD