Mollified Monte Carlo

TL;DR

This paper introduces a mollified Monte Carlo method that leverages generalized functions to enable standard Monte Carlo techniques for computing quantum field theory quantities in challenging scenarios like Minkowski spacetime and phase transitions.

Contribution

It presents a novel mollification approach that extends Monte Carlo applicability to complex quantum field theory problems involving phase transitions and coalescing stationary points.

Findings

Successfully computes QFT quantities in Minkowski spacetime

Handles phase transitions effectively

Addresses coalescing stationary points

Abstract

Using a common technique for approximating distributions [generalized functions], we are able to use standard Monte Carlo methods to compute QFT quantities in Minkowski spacetime, under phase transitions, or when dealing with coalescing stationary points.