Classical Simulation of Quantum Fields II

Abstract

We consider the classical time evolution of a real scalar field in 2 dimensional Minkowski space with a $\lambda {\varphi }^4$ interaction. We compute the spatial and temporal two-point correlation functions and extract the renormalized mass of the interacting theory. We find our results are consistent with the one- and two-loop quantum computation. We also perform Monte Carlo simulations of the quantum theory and conclude that the classical scheme is able to produce more accurate results with a fraction of the CPU time.

16 pages, 8 figures, now matches published version