One-loop vertex function in Yennie gauge QED

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Abstract
In this paper we give a convenient expression for the one-loop vertex correction in Yennie gauge QED. We use dimensional regularization to regulate ultraviolet and potential infrared divergences. We study the infrared behavior of the vertex correction in a class of simple covariant gauges, and verify that β=2/(1-2ε) is the appropriate choice for the gauge parameter of the Yennie gauge (where n=4-2ε is the dimensionality of spacetime).