Cancellation of soft and collinear divergences in noncommutative QED

Details Cancellation of soft and collinear divergences in noncommutative QED Cancellation of soft and collinear divergences in noncommutative QED

2006-09-26

arxiv.org/abs/hep-th/0609181v1

Phys.Rev.D74:065019,2006

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1103/PhysRevD.74.065019

In this paper, we investigate the behavior of non-commutative IR divergences and will also discuss their cancellation in the physical cross sections. The commutative IR (soft) divergences existing in the non-planar diagrams will be examined in order to prove an all order cancellation of these divergences using the Weinberg's method. In non-commutative QED, collinear divergences due to triple photon splitting vertex, were encountered, which are shown to be canceled out by the non-commutative version of KLN theorem. This guarantees that there is no mixing between the Collinear, soft and non-commutative IR divergences.

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