Four-dimensional factorization of the fermion determinant in lattice QCD

TL;DR

This paper introduces a four-dimensional factorization method for the fermion determinant in lattice QCD, enhancing computational efficiency and enabling advanced simulation techniques.

Contribution

It extends previous one-dimensional factorization to four dimensions, improving parallelization and simulation capabilities in lattice QCD.

Findings

Facilitates more efficient parallel Monte Carlo algorithms

Enables master field simulations in lattice QCD

Supports multi-level integration methods

Abstract

In the last few years it has been proposed a one-dimensional factorization of the fermion determinant in lattice QCD with Wilson-type fermions that leads to a block-local action of the auxiliary bosonic fields. Here we propose a four-dimensional generalization of this factorization. Possible applications are more efficient parallelizations of Monte Carlo algorithms and codes, master field simulations, and multi-level integration.