Quark mass anomalous dimension at O(1/N_f^2) in QCD

Details Quark mass anomalous dimension at O(1/N_f^2) in QCD Quark mass anomalous dimension at O(1/N_f^2) in QCD

1999-03-19

arxiv.org/abs/hep-ph/9903410v1

Phys.Lett. B458 (1999) 117-126

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 latex pages, 3 eps figures

Scientific paper

10.1016/S0370-2693(99)00573-0

We compute the d-dimensional critical exponents corresponding to the wave function and mass renormalization of the quark in QCD in the Landau gauge at a new order, O(1/N_f^2), in the large N_f expansion. The computations are simplified by the establishment in d-dimensions of the critical point equivalence of QCD and the non-abelian Thirring model beyond leading order. The form of the O(1/N_f^2) coefficients in the MSbar quark mass anomalous dimension at five loops is deduced and compared with the numerical asymptotic Pade approximant prediction.

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