Computation of Critical Exponent Eta at O(1/N_f^2) in Quantum Electrodynamics in Arbitrary Dimensions

Details Computation of Critical Exponent Eta at O(1/N_f^2) in Quantum Electrodynamics in Arbitrary Dimensions Computation of Critical Exponent Eta at O(1/N_f^2) in Quantum Electrodynamics in Arbitrary Dimensions

1993-12-07

arxiv.org/abs/hep-th/9312055v1

Nucl.Phys. B414 (1994) 614-648

Physics

High Energy Physics

High Energy Physics - Theory

36 latex pages, 12 figures (available from author upon request), LTH-325

Scientific paper

10.1016/0550-3213(94)90257-7

We present a detailed evaluation of $\eta$, the critical exponent corresponding to the electron anomalous dimension, at $O(1/N^2_{\!f})$ in a large flavour expansion of QED in arbitrary dimensions in the Landau gauge. The method involves solving the skeleton Dyson equations with dressed propagators in the critical region of the theory. Various techniques to compute massless two loop Feynman diagrams, which are of independent interest, are also given.

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