Renormalisation of composite operators in lattice QCD: perturbative versus nonperturbative
M. G\"ockeler, R. Horsley, Y. Nakamura, H. Perlt, D. Pleiter, P.E.L., Rakow, A. Sch\"afer, G. Schierholz, A. Schiller, H. St\"uben, J.M. Zanotti
TL;DR
This paper compares perturbative and nonperturbative methods for renormalising quark-antiquark operators in lattice QCD, highlighting differences and agreements for operators with up to three derivatives.
Contribution
It provides a detailed comparison between nonperturbative RI-MOM scheme results and lattice perturbation theory estimates for composite operators in lattice QCD.
Findings
Nonperturbative and perturbative results show notable differences.
Agreement improves for operators with fewer derivatives.
Results inform better renormalisation practices in lattice QCD.
Abstract
The perturbative and nonperturbative renormalisation of quark-antiquark operators in lattice QCD with two flavours of clover fermions is investigated within the research programme of the QCDSF collaboration. Operators with up to three derivatives are considered. The nonperturbative results based on the RI-MOM scheme are compared with estimates from one- and two-loop lattice perturbation theory.
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Quantum Chromodynamics and Particle Interactions · Cold Atom Physics and Bose-Einstein Condensates