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

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We propose a new renormalization scheme of the running coupling constant in general gauge theories defined by using the Wilson loops. The renormalized coupling constant is obtained from the Cretz ratio in lattice simulations and the corresponding perturbative coefficient at the leading order. The latter calculation is performed by adopting the zeta-function resummation techniques. We make 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 ... continued below

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Kurachi, Masafumi; Bilgici, Erek; Flachi, Antonion; Itou, Etsuko; David Lin, C J; Matsufuru, Hideo et al. January 1, 2009.

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We propose a new renormalization scheme of the running coupling constant in general gauge theories defined by using the Wilson loops. The renormalized coupling constant is obtained from the Cretz ratio in lattice simulations and the corresponding perturbative coefficient at the leading order. The latter calculation is performed by adopting the zeta-function resummation techniques. We make 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 relatively small number of gauge configurations.

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  • Journal Name: Physical Review D

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  • Report No.: LA-UR-09-01034
  • Report No.: LA-UR-09-1034
  • Grant Number: AC52-06NA25396
  • Office of Scientific & Technical Information Report Number: 956440
  • Archival Resource Key: ark:/67531/metadc933525

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  • January 1, 2009

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  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 4:21 p.m.

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Kurachi, Masafumi; Bilgici, Erek; Flachi, Antonion; Itou, Etsuko; David Lin, C J; Matsufuru, Hideo et al. A new scheme for the running coupling constant in gauge theories using Wilson loops, article, January 1, 2009; [New Mexico]. (digital.library.unt.edu/ark:/67531/metadc933525/: accessed July 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.