Lattice perturbation theory of Brillouin fermions, Stout smearing, and Wilson flow and its application to the fermion self-energy and c SW at one-loop order / Maximilian Ammer

Titelaufnahme

Titel
Lattice perturbation theory of Brillouin fermions, Stout smearing, and Wilson flow and its application to the fermion self-energy and c SW at one-loop order / Maximilian Ammer
Verfasser
Ammer, Maximilian
Gutachter
Dürr, Stephan
Erschienen
Wuppertal, Juni 2024
Umfang
1 Online-Ressource (147 Seiten) : Diagramme
Hochschulschrift
Bergische Universität Wuppertal, Dissertation, 2024
Anmerkung
Tag der Verteidigung: 11.10.2024
"SW" im Titel tiefergestellt zum c
Verteidigung
2024-10-11
Sprache
Englisch
Dokumenttyp
Dissertation
Institution
Bergische Universität Wuppertal
URN
urn:nbn:de:hbz:468-2-4904
DOI
10.25926/BUW/0-681

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Zusammenfassung

In this thesis the Feynman rules of the Brillouin action are derived. Furthermore stout smearing and the gradient flow of the Wilson gauge action are perturbatively expanded to order $g_0 3$. It is shown how to include perturbative stout smearing or the Wilson flow in the Feynman rules of a fermion action. These are then applied to the one-loop calculations of the fermion self energy and the clover improvement coefficient $c_{SW}$ for both Wilson and Brillouin fermions and with both Wilson and Lüscher-Weisz gauge background.

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