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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, uses axodraw.sty; added comments at the end, and one reference; to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2005.02.049

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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