Four-dimensional factorization of the fermion determinant in lattice QCD
arXiv:2203.02247 · doi:10.1016/j.physletb.2022.137103
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.
arXiv comment17 pages, 3 figures
References in corpus (15)
- Chiral symmetry and O(a) improvement in lattice QCD
- A New Approach to the Problem of Dynamical Quarks in Numerical Simulations of Lattice QCD
- Schwarz-preconditioned HMC algorithm for two-flavour lattice QCD
- Solution of the Dirac equation in lattice QCD using a domain decomposition method
- Domain decomposition, multi-level integration and exponential noise reduction in lattice QCD
- A local factorization of the fermion determinant in lattice QCD
- Systematic errors of Lüscher's fermion method and its extensions
- Stochastic locality and master-field simulations of very large lattices
- Master-field simulations of O(a)-improved lattice QCD: Algorithms, stability and exactness
- Topological susceptibility at from master-field simulations of the SU(3) gauge theory
- Improvements of Lüscher's local bosonic fermion algorithm
- Multi-boson block factorization of fermions
- Multi-level Monte Carlo computation of the hadronic vacuum polarization contribution to
- Local multiboson factorization of the quark determinant
- Variants of Lüscher's fermion algorithm