15–17 Aug 2022
Landhaus Nordhelle
Europe/Zurich timezone

Temporal factorization of the Wilson fermion determinant and multi-level integration

15 Aug 2022, 09:00
40m
Landhaus Nordhelle

Landhaus Nordhelle

Zum Koppenkopf 3, 58540 Meinerzhagen, Germany

Speaker

Urs Wenger (Universität Bern (CH))

Description

When lattice QCD is formulated in sectors of fixed quark numbers, the canonical fermion determinants can be expressed explicitely in terms of transfer matrices defined at fixed time. This in turn provides a complete factorization of the fermion determinants in temporal direction. In this talk I describe this factorization for Wilson-type fermions and present explicit constructions of the transfer matrices. Possible applications of the factorization include the construction of improved estimators for generic n-point correlation functions and multi-level integration schemes. The latter is of particular interest for the calculation of disconnected correlation functions.

Author

Urs Wenger (Universität Bern (CH))

Presentation materials