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.

Saccardi, M., Giusti, L. (2023). Four-dimensional domain decomposition for the factorization of the fermion determinant. Intervento presentato a: The 39th International Symposium on Lattice Field Theory, Bonn, Germany [10.22323/1.430.0386].

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

Saccardi, M
;
Giusti, L
2023

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.
No
paper
Lattice QCD, factorization, multi-level, master-field, HPC
English
The 39th International Symposium on Lattice Field Theory
Saccardi, M., Giusti, L. (2023). Four-dimensional domain decomposition for the factorization of the fermion determinant. Intervento presentato a: The 39th International Symposium on Lattice Field Theory, Bonn, Germany [10.22323/1.430.0386].
Saccardi, M; Giusti, L
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/401377
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