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

Il contenuto (Full text) non è disponibile all'interno di questo archivio.
Tipologia del documento: Pubblicazione in rivista scientifica
Titolo: Noncommutative spacetime symmetries: twist versus covariance
Autori:
AutoreEmail
Lizzi, Fedele[non definito]
Vitale, Patrizia[non definito]
Autore/i: J. M. Gracia-Bondìa, F. Lizzi, F. Ruiz Ruiz, P. Vitale
Data: 2006
Numero di pagine: 8
Dipartimento: Scienze fisiche
Numero identificativo: 10.1103/PhysRevD.74.025014
URL ufficiale: http://link.aps.org/abstract/PRD/v74/e029901
Titolo del periodico: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY
Data: 2006
Volume: 74
Intervallo di pagine: 025014-025014-8
Numero di pagine: 8
Parole chiave: spacetime symmetries, noncommutative geometry, quantum field theory
Numero identificativo: 10.1103/PhysRevD.74.025014
Depositato il: 20 Ott 2010 08:00
Ultima modifica: 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.

Actions (login required)

Modifica documento Modifica documento