# Improvements of L\"uscher's local bosonic fermion algorithm

## TL;DR

This paper enhances L"uscher's local bosonic fermion algorithm by integrating optimization techniques, leading to reduced computational costs in lattice gauge theory simulations with Wilson quarks.

## Contribution

It introduces hybrid over-relaxation, preconditioning, and a modified update procedure to improve the efficiency of the local bosonic fermion algorithm.

## Key findings

- Significant reduction in autocorrelation times.
- Decreased computational cost in SU(2)-LGT simulations.
- Effective parameter tuning demonstrated.

## Abstract

We discuss the application of hybrid over-relaxation, even-odd preconditioning and a modified local updating procedure to the local bosonic fermion algorithm. Studies on autocorrelation times and the tuning of the parameters of the algorithm are done on various lattice sizes simulating SU(2)-LGT with 2 flavours of Wilson quarks. A substantial decrease of the computational cost could be achieved.

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Source: https://tomesphere.com/paper/hep-lat/9512001