Renormalization and O(a)-improvement of the static axial current

被引：42

作者：

Kurth, M ^{[1
]}

Sommer, R ^{[1
]}

机构：

[1] DESY, D-15738 Zeuthen, Germany

来源：

NUCLEAR PHYSICS B | 2001年 / 597卷 / 1-3期

关键词：

lattice QCD; heavy quark effective theory; O(a) improvement; renormalization;

D O I：

10.1016/S0550-3213(00)00750-1

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：

A systematic treatment of O(a)-improvement in lattice theories with static quarks is presented. The Schrodinger functional is discussed and a renormalization condition for the static axial current in the SF-scheme is introduced. Its relation to other schemes is computed to 1-loop order and the 2-loop anomalous dimension is derived. In finite volume renormalization schemes such as the SF-scheme, the renormalization scale dependence of the renormalized quantities is described by the step scaling function which can be computed by MC-simulations. We evaluate its lattice spacing effects in perturbation theory. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：488 / 518

页数：31

共 54 条

[1] THE LEPTONIC DECAY CONSTANTS OF (Q)OVER-BAR-Q MESONS AND THE LATTICE RESOLUTION [J].