New scheme for the running coupling constant in gauge theories using Wilson loops

Erek Bilgici*, Antonino Flachi, Etsuko Itou, Masafumi Kurachi, Chi-Jen Lin, Hideo Matsufuru, Hiroshi Ohki, Tetsuya Onogi, Takeshi Yamazaki

*Corresponding author for this work

Research output: Contribution to journalArticle

32 Scopus citations

Abstract

We propose a new renormalization scheme of the running coupling constant in general gauge theories using the Wilson loops. The renormalized coupling constant is obtained from the Creutz ratio in lattice simulations and the corresponding perturbative coefficient at the leading order. The latter can be calculated by adopting the zeta-function resummation techniques. We perform a benchmark test of our scheme in quenched QCD with the plaquette gauge action. The running of the coupling constant is determined by applying the step-scaling procedure. Using several methods to improve the statistical accuracy, we show that the running coupling constant can be determined in a wide range of energy scales with a relatively small number of gauge configurations.

Original languageEnglish
Article number034507
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume80
Issue number3
DOIs
StatePublished - 31 Aug 2009

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