A new scheme for the running coupling constant in gauge theories using Wilson loops
- Los Alamos National Laboratory
- AUSTRIA
- KYOTO UNIV
- KOGAKUIN UNIV
- NATIONAL CHIAO-TUNG UNIV
- KEK
- UNIV OF TSUKUBA
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.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 956440
- Report Number(s):
- LA-UR-09-01034; LA-UR-09-1034; PRVDAQ; TRN: US1004064
- Journal Information:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology; ISSN 1550-7998
- Country of Publication:
- United States
- Language:
- English
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