Quark, Gluon and Ghost Anomalous Dimensions at O(1/N_f) in Quantum Chromodynamics

Details Quark, Gluon and Ghost Anomalous Dimensions at O(1/N_f) in Quantum Chromodynamics Quark, Gluon and Ghost Anomalous Dimensions at O(1/N_f) in Quantum Chromodynamics

1993-10-12

arxiv.org/abs/hep-th/9310063v1

Phys.Lett. B318 (1993) 177-183

Physics

High Energy Physics

High Energy Physics - Theory

13 pages latex plus 3 figures (available from author on request), LTH-319

Scientific paper

10.1016/0370-2693(93)91803-U

By considering the scaling behaviour of various Feynman graphs at leading order in large $\Nf$ at the non-trivial fixed point of the $d$-dimensional $\beta$-function of QCD we deduce the critical exponents corresponding to the quark, gluon and ghost anomalous dimensions as well as the anomalous dimensions of the quark-quark-gluon and ghost-ghost-gluon vertices in the Landau gauge. As the exponents encode all orders information on the perturbation series of the corresponding renormalization group functions we find agreement with the known three loop structure and, moreover, we provide new information at all subsequent orders.

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