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

J. A. Gracey
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Abstract

The critical exponent corresponding to the renormalization of the composite operator $\barψψ$ is computed in quantum electrodynamics at $O(1/\Nf^2)$ in arbitrary dimensions and covariant gauge at the non-trivial zero of the $β$-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 $ε$ $=$ $2$ $-$ $d/2$ 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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J. A. Gracey. 1993-09-15. Electron Mass Anomalous Dimension at O(1/N^2_f) in Quantum Electrodynamics. https://doi.org/10.1016/0370-2693(93)91017-h

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