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: | Autore Email 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.
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