Computation of quark mass anomalous dimension at O(1/<i>N_f</i><SUP>2</SUP>) in quantum chromodynamics

Ciuchini, M, Derkachov, SÉ, Gracey, JA ORCID: 0000-0002-9101-2853 and Manashov, AN (2000) Computation of quark mass anomalous dimension at O(1/<i>N_f</i><SUP>2</SUP>) in quantum chromodynamics. NUCLEAR PHYSICS B, 579 (1-2). pp. 56-100.

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Abstract

We present the formalism to calculate d -dimensional critical exponents in QCD in the large Nf expansion where Nf is the number of quark flavours. It relies in part on demonstrating that at the d -dimensional fixed point of QCD the critical theory is equivalent to a non-abelian version of the Thirring model. We describe the techniques used to compute critical two- and three-loop Feynman diagrams and as an application determine the quark wave function, η , and mass renormalization critical exponents at O(1/Nf2) in d dimensions. Their values when expressed in relation to four-dimensional perturbation theory are in exact agreement with the known four-loop MS results. Moreover, new coefficients in these renormalization group functions are determined to six-loops and O(1/Nf2) . The computation of the exponents in the Schwinger Dyson approach is also provided and an expression for η in arbitrary covariant gauge is given. © 2000 Elsevier Science B.V.

Item Type:	Article
Additional Information:	LTH 469. arXiv Number: arXiv:hep-ph/9912221v1. Available online 19 June 2000. Issue: 17 July 2000.
Uncontrolled Keywords:	large N-f method, renormalization, quark mass anomalous dimension, perturbation theory
Subjects:	?? QC ??
Divisions:	Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	20 Nov 2008 12:44
Last Modified:	14 Oct 2023 15:33
DOI:	10.1016/S0550-3213(00)00209-1
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/603