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arxiv: hep-ph/9903410 · v1 · submitted 1999-03-19 · ✦ hep-ph

Quark mass anomalous dimension at O(1/N_f²) in QCD

classification ✦ hep-ph
keywords massquarkanomalouscriticaldimensionorderapproximantasymptotic
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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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