Additive and multiplicative renormalization of topological charge with improved gluon/fermion actions: A test case for 3-loop vacuum calculations, using overlap or clover fermions

Abstract

We calculate perturbative renormalization properties of the topological charge, using the standard lattice discretization given by a product of twisted plaquettes. We use the overlap and clover action for fermions, and the Symanzik improved gluon action for 4- and 6-link loops. We compute the multiplicative renormalization of the topological charge density to one loop; this involves only the gluon part of the action. The power divergent additive renormalization of the topological susceptibility is calculated to 3 loops. Our work serves also as a test case of the techniques and limitations of lattice perturbation theory, it being the first 3-loop computation in the literature involving overlap fermions.

15 pages, 7 figures. Final version, accepted in Physical Review D

References in corpus (4)

• Topological susceptibility in the SU(3) gauge theory
• Topological susceptibility in full QCD with Ginsparg-Wilson fermions
• One-loop renormalisation of quark bilinears for overlap fermions with improved gauge actions
• Analyticity in theta on the lattice and the large volume limit of the topological susceptibility

Cited by in corpus (6)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• QCD with overlap fermions: Running coupling and the 3-loop beta-function
• Perturbative renormalization in parton distribution functions using Overlap fermions and Symanzik improved gluons
• Large Wilson loops with overlap and clover fermions: Two-loop evaluation of the b-quark mass shift and the quark-antiquark potential
• Gauge theories with overlap fermions in an arbitrary representation: Evaluation of the 3-loop beta-function