Status: Bibliographieeintrag
Standort: ---
Exemplare:
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| Online-Ressource |
Verfasst von: | Gurǎu, Rǎzvan [VerfasserIn]  |
| Rosten, Oliver J. [VerfasserIn]  |
Titel: | Wilsonian renormalization of noncommutative scalar field theory |
Verf.angabe: | Razvan Gurau and Oliver J. Rosten |
E-Jahr: | 2009 |
Jahr: | July 17, 2009 |
Umfang: | 45 S. |
Fussnoten: | Gesehen am 29.09.2022 |
Titel Quelle: | Enthalten in: Journal of high energy physics |
Ort Quelle: | Berlin : Springer, 1997 |
Jahr Quelle: | 2009 |
Band/Heft Quelle: | (2009), 7, Artikel-ID 064, Seite 1-45 |
ISSN Quelle: | 1029-8479 |
Abstract: | Drawing on analogies with the commutative case, the Wilsonian picture of renormalization is developed for noncommutative scalar field theory. The dimensionful noncommutativity parameter, θ, induces several new features. Fixed-points are replaced by `floating-points' (actions which are scale independent only up to appearances of θ written in cutoff units). Furthermore, it is found that one must use correctly normalized operators, with respect to a new scalar product, to define the right notion of relevance and irrelevance. In this framework it is straightforward and intuitive to reproduce the classification of operators found by Grosse & Wulkenhaar, around the Gaussian floating-point. The one-loop β-function of their model is computed directly within the exact renormalization group, reproducing the previous result that it vanishes in the self-dual theory, in the limit of large cutoff. With the link between this methodology and earlier results made, it is discussed how the vanishing of the β-function to all loops, as found by Disertori et al., should be interpreted in a Wilsonian framework. |
DOI: | doi:10.1088/1126-6708/2009/07/064 |
URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Volltext: https://doi.org/10.1088/1126-6708/2009/07/064 |
| DOI: https://doi.org/10.1088/1126-6708/2009/07/064 |
Datenträger: | Online-Ressource |
Sprache: | eng |
K10plus-PPN: | 1805323830 |
Verknüpfungen: | → Zeitschrift |
Wilsonian renormalization of noncommutative scalar field theory / Gurǎu, Rǎzvan [VerfasserIn]; July 17, 2009 (Online-Ressource)
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