Lizzi, Fedele and Vitale, Patrizia (2006) Noncommutative spacetime symmetries: twist versus covariance. [Pubblicazione in rivista scientifica]

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Item Type: Pubblicazione in rivista scientifica
Title: Noncommutative spacetime symmetries: twist versus covariance
Creators:
CreatorsEmail
Lizzi, FedeleUNSPECIFIED
Vitale, PatriziaUNSPECIFIED
Autor/s: J. M. Gracia-Bondìa, F. Lizzi, F. Ruiz Ruiz, P. Vitale
Date: 2006
Number of Pages: 8
Department: Scienze fisiche
Identification Number: 10.1103/PhysRevD.74.025014
Official URL: http://link.aps.org/abstract/PRD/v74/e029901
Journal or Publication Title: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY
Date: 2006
Volume: 74
Page Range: 025014-025014-8
Number of Pages: 8
Uncontrolled Keywords: spacetime symmetries, noncommutative geometry, quantum field theory
Identification Number: 10.1103/PhysRevD.74.025014
Date Deposited: 20 Oct 2010 08:00
Last Modified: 30 Apr 2014 19:41
URI: http://www.fedoa.unina.it/id/eprint/6249

Abstract

We prove that the Moyal product is covariant under linear affine spacetime transformations. From the covariance law, by introducing an (x, Theta)-space where the spacetime coordinates and the noncommutativity matrix components are on the same footing, we obtain a noncommutative representation of the affine algebra, its generators being differential operators in (x, Theta)-space. As a particular case, theWeyl Lie algebra is studied and known results for Weyl invariant noncommutative field theories are rederived in a nutshell. We also show that this covariance cannot be extended to spacetime transformations generated by differential operators whose coefficients are polynomials of order larger than 1.We compare our approach with the twist-deformed enveloping algebra description of spacetime transformations.

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