Cancellation of soft and collinear divergences in noncommutative QED

Abstract

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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Cited by in corpus (5)

• Towards Noncommutative Fuzzy QED
• Effective Field Theory of a Locally Noncommutative Space-Time and Extra Dimensions
• A Complete Diagrammatic Implementation of the Kinoshita-Lee-Nauenberg Theorem at Next-to-Leading Order
• On the UV/IR mixing of Lie algebra-type noncommutatitive ${\varphi }^4$-theories
• NLO Rutherford Scattering and the Kinoshita-Lee-Nauenberg Theorem