Dynamical fermion simulations using Luescher's local bosonic action algorithm

TL;DR

This paper evaluates Luescher's local boson action algorithm in simulating the two-flavour Schwinger model, analyzing autocorrelation times and proposing an extension for exact dynamical partition function reproduction.

Contribution

The paper introduces an extension to Luescher's algorithm that exactly reproduces the full dynamical partition function for any number of boson fields.

Findings

Autocorrelation time increases linearly with the number of auxiliary boson fields.

The proposed extension accurately reproduces the full dynamical partition function.

The algorithm's efficiency and accuracy are validated in the two-flavour Schwinger model.

Abstract

The two-flavour Schwinger model is used to test the local boson action algorithm of M Luescher. The autocorrelation time is found to rise linearly with the number of auxiliary boson fields. An extension to the algorithm is proposed which exactly reproduces the full dynamical partition function for any number of boson fields.