Four-dimensional domain decomposition for the factorization of the fermion determinant
High Energy Physics - Lattice
2022-11-15 v1
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.
Cite
@article{arxiv.2211.06902,
title = {Four-dimensional domain decomposition for the factorization of the fermion determinant},
author = {Matteo Saccardi and Leonardo Giusti},
journal= {arXiv preprint arXiv:2211.06902},
year = {2022}
}