Transfer matrices and temporal factorization of the Wilson fermion determinant
When lattice QCD is formulated in sectors of fixed quark numbers, the canonical fermion determinants can be expressed explicitly in terms of transfer matrices. This in turn provides a complete factorization of the fermion determinants in temporal direction. Here we present a generic overview of this...
Saved in:
Main Author | |
---|---|
Format | Journal Article |
Language | English |
Published |
14.02.2023
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | When lattice QCD is formulated in sectors of fixed quark numbers, the
canonical fermion determinants can be expressed explicitly in terms of transfer
matrices. This in turn provides a complete factorization of the fermion
determinants in temporal direction. Here we present a generic overview of this
factorization, apply it to Wilson-type fermions and provide explicit
constructions of the transfer matrices. Possible applications of the
factorization include multi-level integration schemes and the construction of
improved estimators for generic $n$-point correlation functions. |
---|---|
DOI: | 10.48550/arxiv.2302.07385 |