Electron Mass Anomalous Dimension at O(1/N^2_f) in Quantum Electrodynamics

Details Electron Mass Anomalous Dimension at O(1/N^2_f) in Quantum Electrodynamics Electron Mass Anomalous Dimension at O(1/N^2_f) in Quantum Electrodynamics

1993-09-15

arxiv.org/abs/hep-th/9309092v1

Phys.Lett. B317 (1993) 415-420

Physics

High Energy Physics

High Energy Physics - Theory

12 pages (latex), 1 figure (available from author on request), LTH-316

Scientific paper

10.1016/0370-2693(93)91017-H

The critical exponent corresponding to the renormalization of the composite operator $\bar{\psi}\psi$ is computed in quantum electrodynamics at $O(1/\Nf^2)$ in arbitrary dimensions and covariant gauge at the non-trivial zero of the $\beta$-function in the large $\Nf$ expansion and the exponent corresponding to the anomalous dimension of the electron mass which is a gauge independent object is deduced. Expanding in powers of $\epsilon$ $=$ $2$ $-$ $d/2$ we check it is consistent with the known three loop perturbative structure and determine the subsequent coefficients in the coupling constant

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