Lattice perturbation theory for gluonic and fermionic actions

Abstract

We calculate the two loop Landau mean links and the one loop renormalisation of the anisotropy for Wilson and improved SU(3) gauge actions, using twisted boundary conditions as a gauge invariant infrared regulator. We show these accurately describe simulated results, and outline a method for generating Feynman rules for general lattice field theories, in a form suitable for efficient numerical calculation of perturbative loop diagrams.

6 pages of LaTeX. Two posters at Lattice2002(improve) combined

References in corpus (1)

• The Anisotropic Wilson Gauge Action

Cited by in corpus (9)

• Radiative corrections to the lattice gluon action for highly improved staggered quarks (HISQ) and the effect of such corrections on the static potential
• Matching lattice and continuum axial-vector and vector currents with NRQCD and HISQ quarks
• Automated generation of lattice QCD Feynman rules
• Automatically generating Feynman rules for improved lattice field theories
• The mass of the b-quark from lattice NRQCD and lattice perturbation theory
• Unquenching effects on the coefficients of the Lüscher-Weisz action
• Leptonic widths of heavy quarkonia: S-Wave QCD/NRQCD matching coefficients for the electromagnetic vector annihilation current at O(alpha_s v^2)
• Perturbation theory vs. simulation for tadpole improvement factors in pure gauge theories
• The contribution of O(alpha) radiative corrections to the renormalised anisotropy and application to general tadpole improvement schemes: addendum to "One loop calculation of the renormalised anisotropy for improved anisotropic gluon actions on a lattice" [hep-lat/0208010]