PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Theoretical Developments
Four-dimensional domain decomposition for the factorization of the fermion determinant
M. Saccardi* and L. Giusti
Full text: pdf
Pre-published on: January 09, 2023
Published on: April 06, 2023
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.
DOI: https://doi.org/10.22323/1.430.0386
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