Galluccio, Salvatore, Lizzi, Fedele and Vitale, Patrizia (2009) Translation Invariance, Commutation Relations and Ultraviolet/Infrared Mixing. [Pubblicazione in rivista scientifica]
Full text not available from this repository.Item Type: | Pubblicazione in rivista scientifica |
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Resource language: | English |
Title: | Translation Invariance, Commutation Relations and Ultraviolet/Infrared Mixing. |
Creators: | Creators Email 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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