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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 [...] / Maximilian Ammer. Wuppertal, Juni 2024
Inhalt
Introduction
QFT and the Standard Model
Gauge Theories
The Standard Model of Particle Physics
Quantum Chromodynamics
Path Integrals
Gauge Fixing
Perturbation Theory
Renormalization
Asymptotic Freedom
Lattice Gauge Theory
The naive lattice fermion action
The lattice gauge action
The lattice path integral
Wilson Fermions
Brillouin Fermions
Improvement
Clover Improvement
Improvement of the Gauge Action
Smearing and Gradient Flow
Stout Smearing
Wilson Flow
Lattice Perturbation Theory (LPT)
The Gauge Action
Improvement
The Fermion Action
Clover Improvement
Fermion Self-Energy
Perturbative Determination of cSW
LPT of Brillouin Fermions
Feynman Rules
Self-Energy of the Brillouin Clover Fermion
cSW(1) for Brillouin Fermions
LPT of Stout Smearing and WF
Perturbative Stout Smearing
Leading Order
Next-to-Leading Order
Next-to-Next-to-Leading Order
Perturbative Wilson Flow
Leading Order
Next-to-Leading Order
Next-to-Next-to-Leading Order
Continuum Limit
Feynman Rules
Fermion Self-Energy with Stout Smearing and Wilson Flow
0 with Stout Smearing
1 with Stout Smearing
0 with Wilson Flow
1 with Wilson Flow
One-Loop cSW with Stout Smearing and Wilson Flow
cSW(1) with Stout Smearing
cSW(1) with Wilson Flow
Summary and Conclusion
Appendix Additional Data
cSW(1) with Brillouin Fermions
0 with Stout Smearing
1 with Stout Smearing
0 and 1 with Wilson Flow
cSW(1) with Stout Smearing
cSW(1) with Wilson Flow
Bibliography