Four-dimensional domain decomposition for the factorization of the fermion determinant

TL;DR

This paper introduces a four-dimensional domain decomposition method to factorize the fermion determinant in lattice QCD, enabling more efficient simulations and parallel computations.

Contribution

The paper presents a novel overlapping four-dimensional domain decomposition technique for the fermion determinant, improving locality and computational efficiency in lattice QCD simulations.

Findings

Block-local action in gauge and bosonic fields

Enhanced parallelization of Monte Carlo algorithms

Potential for multi-level integration and master field simulations

Abstract

The non-local dependence of the fermion determinant on the gauge field limits our ability of simulating Quantum Chromodynamics on the lattice. Here we present a factorization of the gauge field dependence of the fermion determinant based on an overlapping four-dimensional domain decomposition of the lattice. The resulting action is block-local in the gauge and in the auxiliary bosonic fields. Possible applications are multi-level integration, master field simulations, and more efficient parallelizations of Monte Carlo algorithms and codes.