Computation of quark mass anomalous dimension at O(1/N-f(2)) in quantum chromodynamics

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

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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: 16 Dec 2022 09:51
DOI: 10.1016/S0550-3213(00)00209-1
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