Galluccio, Salvatore and Lizzi, Fedele and Vitale, Patrizia (2009) Translation Invariance, Commutation Relations and Ultraviolet/Infrared Mixing. [Pubblicazione in rivista scientifica]

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Item Type: Pubblicazione in rivista scientifica
Uncontrolled Keywords: Noncommutative Geometry, Noncommutative Field theory, Ultraviolet/Infrared Mixing
Date Deposited: 21 Oct 2010 06:57
Last Modified: 30 Apr 2014 19:43
URI: http://www.fedoa.unina.it/id/eprint/7593

Abstract

We show that the Ultraviolet/Infrared mixing of noncommutative field theories with the Gronewold-Moyal product, whereby some (but not all) ultraviolet divergences become infrared, is a generic feature of translationally invariant associative products. We find, with an explicit calculation that the phase appearing in the nonplanar diagrams is the one given by the commutator of the coordinates, the semiclassical Poisson structure of the non commutative spacetime. We do this with an explicit calculation for represented generic products.

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