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Three loop anomalous dimension of non-singlet quark currents in the RI' scheme

Gracey, J.A. (2003) Three loop anomalous dimension of non-singlet quark currents in the RI' scheme. Nuclear Physics B, 662 (1-2). pp. 247-278. ISSN 0550-3213

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Official URL: http://www.elsevier.com/wps/find/journaldescriptio...

Cited 41 times in WoS

Abstract

We renormalize QCD at three loops in the modified regularization invariant, RI', scheme in arbitrary covariant gauge and deduce that the four loop beta-function is equivalent to the MSbar result. The anomalous dimensions of the scalar, vector and tensor currents are then determined in the RI' scheme at three loops by considering the insertion of the operator in a quark two-point function. The expression for the scalar current agrees with the quark mass anomalous dimension and we deduce an expression for the four loop RI' mass anomalous dimension in arbitrary covariant gauge and for any Lie group.

Item Type:Article
Additional Information:LTH 572; arXiv Number: arXiv:hep-ph/0304113v1. Available online 8 May 2003. Issue: 7 July 2003.
Uncontrolled Keywords:ABELIAN GAUGE THEORIES; QUANTUM CHROMODYNAMICS; LEADING ORDER; NONPERTURBATIVE RENORMALIZATION; BETA-FUNCTION; 2-LOOP ORDER; QCD; MASS; (MS)OVER-BAR; REGULARIZATION
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
DOI:10.1016/S0550-3213(03)00335-3
Related URLs:
Refereed:Yes
Status:Published
ID Code:524
Deposited On:19 Aug 2008 14:13
Last Modified:20 May 2011 12:43

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