Galluccio, Salvatore, 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
Resource language: English
Title: Translation Invariance, Commutation Relations and Ultraviolet/Infrared Mixing.
Creators:
Creators
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Galluccio, Salvatore
UNSPECIFIED
Lizzi, Fedele
UNSPECIFIED
Vitale, Patrizia
UNSPECIFIED
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
Original publication URL: http://www-spires.fnal.gov/spires/find/hep/www?epr...
Journal or Publication Title: JOURNAL OF HIGH ENERGY PHYSICS
Date: 2009
Page Range: pp. 1-24
Number of Pages: 24
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
URI: http://www.fedoa.unina.it/id/eprint/7593

Collection description

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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