Classical Simulation of Quantum Fields II

TL;DR

This paper demonstrates that classical simulations of a scalar quantum field can accurately reproduce quantum correlation functions and mass renormalization more efficiently than traditional quantum Monte Carlo methods.

Contribution

It introduces a classical simulation approach for quantum field dynamics that matches quantum results with less computational effort.

Findings

Classical simulations match quantum two-point functions.

Classical method yields accurate renormalized mass.

Classical approach is more CPU-efficient than quantum Monte Carlo.

Abstract

We consider the classical time evolution of a real scalar field in 2 dimensional Minkowski space with a $\lambda \phi^4$ 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.