Ultraviolet and Infrared Divergences in Implicit Regularization: a Consistent Approach

Details Ultraviolet and Infrared Divergences in Implicit Regularization: a Consistent Approach Ultraviolet and Infrared Divergences in Implicit Regularization: a Consistent Approach

2010-01-10

arxiv.org/abs/1001.1543v2

Mod.Phys.Lett.A26:289-302,2011

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, version to appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732311034773

Implicit Regularization is a 4-dimensional regularization initially conceived to treat ultraviolet divergences. It has been successfully tested in several instances in the literature, more specifically in those where Dimensional Regularization does not apply. In the present contribution we extend the method to handle infrared divergences as well. We show that the essential steps which rendered Implicit Regularization adequate in the case of ultraviolet divergences have their counterpart for infrared ones. Moreover we show that a new scale appears, typically an infrared scale which is completely independent of the ultraviolet one. Examples are given.

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