The three-loop β-function of SU(N) lattice gauge theories with Wilson fermions

被引：42

作者：

Christou, C

Feo, A

Panagopoulos, H

Vicari, E

机构：

[1] Univ Cyprus, Dept Nat Sci, CY-1678 Nicosia, Cyprus

[2] Univ Pisa, Dipartimento Fis, I-56126 Pisa, Italy

[3] Ist Nazl Fis Nucl, I-56126 Pisa, Italy

来源：

NUCLEAR PHYSICS B | 1998年 / 525卷 / 1-2期

关键词：

lattice QCD; lattice gauge theory; beta function; asymptotic scaling; lattice perturbation theory; running coupling constant;

D O I：

10.1016/S0550-3213(98)00248-X

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We calculate the third coefficient of the lattice beta-function associated with the Wilson formulation for both gauge fields and fermions, This allows us to evaluate the three-loop correction (linear in g(0)(2)) to the relation between the lattice Lambda parameter and the bare coupling g(0), which is important in order to verify asymptotic scaling predictions. Our calculation also leads to the two-loop relation between the coupling renormalized in the MS scheme and g(0). (C) 1998 Elsevier Science B.V.

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收藏

页码：387 / 400

页数：14

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