Coherent State path-integral simulation of many particle systems

TL;DR

This paper employs coherent state path-integral methods to simulate many-particle systems, specifically the diffusion-controlled reaction A+A→0, providing non-perturbative insights and confirming renormalization group predictions.

Contribution

It demonstrates the application of coherent state path-integral simulation to a specific reaction, clarifying the continuum limit and validating theoretical predictions.

Findings

Results align with renormalization group predictions

Clarifies the continuum limit of the action

Provides a non-perturbative simulation approach

Abstract

The coherent state path integral formulation of certain many particle systems allows for their non perturbative study by the techniques of lattice field theory. In this paper we exploit this strategy by simulating the explicit example of the diffusion controlled reaction $A+A\to 0$. Our results are consistent with some renormalization group-based predictions thus clarifying the continuum limit of the action of the problem.