Algorithm for Computing the $\BETA$-Function of Quantum Electrodynamics in the Large N_f Expansion

Abstract

By considering corrections to the asymptotic scaling functions of the photon and electron in quantum electrodynamics with $\Nf$ flavours, we solve the skeleton Dyson equations at $O(1/\Nf)$ in the large $\Nf$ expansion at the $d$-dimensional critical point of the theory and deduce the critical exponent ${\beta }^{\prime }(g_c)$, in arbitrary dimensions, and subsequently present a method for computing higher order corrections to $\beta (g)$.

latex file, 22 pages, 12 figures available on request from the author, LTH-294

References in corpus (1)

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

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• Computation of Critical Exponent Eta at O(1/N_f^2) in Quantum Electrodynamics in Arbitrary Dimensions
• Computation of quark mass anomalous dimension at O(1/N_f^2) in quantum chromodynamics
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• Large-N supersymmetric beta-functions
• QCD and QED renormalization group functions - a large N_f approach
• Renormalizable Expansion for Nonrenormalizable Theories: II. Gauge Higher Dimensional Theories
• Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability