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