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
Lingua: English
Title: Translation Invariance, Commutation Relations and Ultraviolet/Infrared Mixing.
Galluccio, SalvatoreUNSPECIFIED
Vitale, PatriziaUNSPECIFIED
Autore/i: S. Galluccio, F. Lizzi, P. Vitale
Date: 2009
Number of Pages: 24
Department: Scienze fisiche
Identification Number: 10.1088/1126-6708/2009/09/054
Official URL:
Journal or Publication Title: JOURNAL OF HIGH ENERGY PHYSICS
Date: 2009
Page Range: pp. 1-24
Number of Pages: 24
Uncontrolled Keywords: Noncommutative Geometry, Noncommutative Field theory, Ultraviolet/Infrared Mixing
Identification Number: 10.1088/1126-6708/2009/09/054
Date Deposited: 21 Oct 2010 06:57
Last Modified: 30 Apr 2014 19:43


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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