An Improved Gaussian Approximation for Quantum Field Theory

TL;DR

This paper introduces a novel recursive Gaussian approximation method for quantum field theory that enhances the standard one-loop results and accelerates Monte Carlo simulations.

Contribution

It develops a recursive scheme for improved Gaussian approximations and applies it to speed up Monte Carlo algorithms in quantum field theory.

Findings

Enhanced Gaussian approximation sequence for quantum field calculations

Significant acceleration of Monte Carlo simulations

Improved accuracy over standard one-loop results

Abstract

We present a new approximation technique for quantum field theory. The standard one-loop result is used as a seed for a recursive formula that gives a sequence of improved Gaussian approximations for the generating functional. In a different setting, the basic idea of this recursive scheme is used in the second part of the paper to substantialy speed up the standard Monte Carlo algorithm.