Journal Article

FZJ-2024-03145

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Calculation of c SW at one-loop order for Brillouin fermions

Ammer, M. (Corresponding author) ; Dürr, S. (Corresponding author)FZJ*

2024
American Physical Society Ridge, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevD.109.014512  doi:10.34734/FZJ-2024-03145

Abstract: The Brillouin action is a Wilson-like lattice fermion action with a 81-point stencil, which was found to ameliorate the Wilson action in many respects. The Sheikholeslami-Wohlert coefficient cSW of the clover improvement term has a perturbative expansion cSW=c(0)SW+g20c(1)SW+O(g40). At tree-level c(0)SW=r holds for Wilson and Brillouin fermions alike. We present the Feynman rules for the Brillouin action in lattice perturbation theory, and employ them to calculate the one-loop coefficient c(1)SW with plaquette or Lüscher-Weisz gluons. Numerically its value is found to be about half that of the Wilson action.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2024

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