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Dimensionally Regularized Study of Nonperturbative Quenched QED

Andreas W. Schreiber·Tom Sizer·Anthony G. Williams
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Abstract

We study the dimensionally regularized fermion propagator Dyson-Schwinger equation in quenched nonperturbative QED in an arbitrary covariant gauge using the Curtis-Pennington vertex and perform nonperturbative renormalization numerically. The nonperturbative fermion propagator is solved in D=4-2*epsilon < 4 dimensional Euclidean space for a large number of values of epsilon for two values of the coupling, alpha=0.6 and alpha=1.5. Results for D=4 are then obtained by extrapolation to epsilon=0. We compare these results against previous studies employing a modified ultraviolet cut-off regularization and find agreement to within the numerical precision of the present calculations.

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Andreas W. Schreiber, Tom Sizer, Anthony G. Williams. 1998-07-08. Dimensionally Regularized Study of Nonperturbative Quenched QED. https://arxiv.org/abs/hep-ph/9807202

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