Lattice perturbation theory for gluonic and fermionic actions
I.T. Drummond, A. Hart, R.R. Horgan, L.C. Storoni (Cambridge)
TL;DR
This paper develops a method for calculating perturbative corrections in lattice gauge theories, specifically for gluonic and fermionic actions, and validates these calculations against simulations.
Contribution
It introduces a new approach for deriving Feynman rules for general lattice field theories, enabling efficient perturbative calculations.
Findings
Calculated two-loop Landau mean links and one-loop anisotropy renormalisation for SU(3) gauge actions
Validated perturbative results against simulation data
Outlined a general method for generating Feynman rules for lattice theories
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.
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