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Infrared behaviour of massless QED in space-time dimensions 2 < d < 4

Indrajit Mitra, Raghunath Ratabole, H. S. Sharatchandra

hep-tharXiv:hep-th/0410120

Abstract

We show that the logarithmic infrared divergences in electron self-energy and vertex function of massless QED in 2+1 dimensions can be removed at all orders of 1/N by an appropriate choice of a non-local gauge. Thus the infrared behaviour given by the leading order in 1/N is not modified by higher order corrections. Our analysis gives a computational scheme for the Amati-Testa model, resulting in a non-trivial conformal invariant field theory for all space-time dimensions 2 < d < 4.

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