Two-loop relation between the bare lattice coupling and the MSbar coupling in pure SU(N) gauge theories

TL;DR

This paper calculates the two-loop relation between the bare lattice coupling and the MSbar renormalized coupling in pure SU(N) gauge theories, providing insights into their connection in quantum field theory.

Contribution

It provides the first two-loop perturbative calculation of the coupling relation in pure SU(N) gauge theories, bridging lattice and continuum formulations.

Findings

Derived the two-loop relation between lattice and MSbar couplings.

Discussed implications for lattice gauge theory calculations.

Enhanced understanding of coupling scheme conversions.

Abstract

We report the result of a computation of the relation between the renormalized coupling in the MSbar scheme of dimensional regularization and the bare coupling in the standard lattice formulation of the SU(N) Yang-Mills theory to two-loop order of perturbation theory and discuss some of its implications.