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Scholarly Communication

Computation of quark mass anomalous dimension at O(1/Nf2) in quantum chromodynamics

Ciuchinia, M.; Derkachov, S.É.; Gracey, J.A. and Manashov, A.N. (2000) Computation of quark mass anomalous dimension at O(1/Nf2) in quantum chromodynamics. Nuclear Physics B, 579 (1-2). pp. 56-100. ISSN 0550-3213

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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/N2 f ) 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/N2 f ). The computation of the exponents in the Schwinger Dyson approach is also provided and an expression for η in arbitrary covariant gauge is given.

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; DEEP-INELASTIC SCATTERING; CRITICAL EXPONENT-ETA; QCD BETA-FUNCTION; ARBITRARY DIMENSIONS; 1/N EXPANSION; ELECTRODYNAMICS; OPERATORS; ORDER
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
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ID Code:603
Deposited On:20 Nov 2008 12:44
Last Modified:28 Feb 2012 11:14

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