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
