Elsevier

Nuclear Physics B

Volume 105, Issue 1, 8 March 1976, Pages 23-44
Nuclear Physics B

Renormalization constants and asymptotic behaviour in quantum electrodynamics

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Abstract

Using dimensional regularization, a field theory contains at least one parameter less than usual with the dimension of mass. The Callan-Symanzik equations for the renormalization constants then become solvable entirely in terms of the coefficient functions. Explicit expressions are obtained for all the renormalization constants in quantum electrodynamics. At non-exceptional momenta the infrared behaviour and the three leading terms in the asymptotic expansion of any Green function are controlled by the Callan-Symanzik equations. For the propagators the three leading terms are computed explicitly. The gauge dependence of the asymptotic electron propagator in momentum space is calculated in all orders of perturbation theory.

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