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

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 $β^\prime(g_c)$, in arbitrary dimensions, and subsequently present a method for computing higher order corrections to $β(g)$.

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