Global Monte Carlo for fermions using ordered statistics

TL;DR

This paper introduces a novel stochastic approach for representing the fermion determinant globally, enabling improved Monte Carlo algorithms, demonstrated through tests on the Schwinger model.

Contribution

It proposes a new stochastic representation method for the fermion determinant applicable to global Monte Carlo algorithms, with validation in the Schwinger model.

Findings

Successful implementation of the method in the Schwinger model

Potential for improved fermion Monte Carlo algorithms

Foundation for further research in stochastic fermion representations

Abstract

In this talk I discuss a new possibility for stochastic representation of the fe rmion determinant. The method can be used for global Monte Carlo fermion algorit hms and is tested in the case of the Schwinger model.