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

被引：26

作者：

Bilgici, Erek ^{[1
]}

Flachi, Antonino ^{[2
]}

Itou, Etsuko ^{[3
]}

Kurachi, Masafumi ^{[4
]}

Lin, C. -J. David ^{[5
,6
]}

Matsufuru, Hideo ^{[7
]}

Ohki, Hiroshi ^{[2
,8
]}

Onogi, Tetsuya ^{[2
]}

Yamazaki, Takeshi ^{[9
]}

机构：

[1] Graz Univ, Inst Phys, A-8010 Graz, Austria

[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

[3] Kogakuin Univ, Acad Support Ctr, Nakanomachi Hachioji 1920015, Japan

[4] Los Alamos Natl Lab, Theoret Div T, Los Alamos, NM 87544 USA

[5] Natl Chiao Tung Univ, Inst Phys, Hsinchu 300, Taiwan

[6] Natl Ctr Theoret Sci, Div Phys, Hsinchu 300, Taiwan

[7] KEK, High Energy Accelerator Res Org, Tsukuba, Ibaraki 3050801, Japan

[8] Kyoto Univ, Dept Phys, Kyoto 6068501, Japan

[9] Univ Tsukuba, Ctr Computat Sci, Tsukuba, Ibaraki 3058577, Japan

来源：

PHYSICAL REVIEW D | 2009年 / 80卷 / 03期

关键词：

CHIRAL HIERARCHIES; SYMMETRY-BREAKING; PHASE-TRANSITION; LATTICE; COMPUTATION; DYNAMICS; SCALE; QCD;

D O I：

10.1103/PhysRevD.80.034507

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：14

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