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

Gracey, JA ORCID: 0000-0002-9101-2853 (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, 1873-1562

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Abstract

We renormalize QCD at three loops in the modified regularization invariant, RI′, scheme in arbitrary covariant gauge and deduce that the four loop β-function is equivalent to the MS 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. © 2003 Elsevier Science B.V. All rights reserved.

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:	?? QC ??
Divisions:	Faculty of Science & Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	19 Aug 2008 13:13
Last Modified:	24 Jan 2026 00:08
DOI:	10.1016/S0550-3213(03)00335-3
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/524
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