A New scheme for the running coupling constant in gauge theories using Wilson loops
Feb, 2009
27 pages
Published in:
- Phys.Rev.D 80 (2009) 034507
e-Print:
- 0902.3768 [hep-lat]
Report number:
- YITP-09-11,
- LA-UR-09-01034,
- KEK-CP-221,
- KUNS-2193,
- UTCCS-P-52
Citations per year
Abstract: (arXiv)
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 relatively small number of gauge configurations.- 11.15.Ha
- 11.10.Gh
- coupling constant: energy dependence
- gauge field theory
- Wilson loop
- quantum chromodynamics
- coupling constant: renormalization
- zeta function
- approximation: quenching
- numerical calculations: Monte Carlo
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