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

Abstract

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

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

References in corpus (3)

• Computation of Critical Exponent Eta at O(1/N_f^2) in Quantum Electrodynamics in Arbitrary Dimensions
• Algorithm for Computing the $\BETA$-Function of Quantum Electrodynamics in the Large N_f Expansion
• Gauge Independent Critical Exponents for QED Coupled to a Four Fermi Interaction with and without a Chern Simons Term

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