Vanishing β-function for Grosse-Wulkenhaar model in a magnetic field

We prove that the β-function of the Grosse-Wulkenhaar model including a magnetic field vanishes at all order of perturbations. We compute the renormalization group flow of the relevant dynamic parameters and find a non-Gaussian infrared fixed point. Some consequences of these results are discussed.

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Hauptverfasser: Ben Geloun, Joseph (VerfasserIn) , Gurǎu, Rǎzvan (VerfasserIn) , Rivasseau, Vincent (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2009
In: Physics letters
Year: 2009, Jahrgang: 671, Heft: 2, Pages: 284-290
ISSN:1873-2445
DOI:10.1016/j.physletb.2008.12.027
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.physletb.2008.12.027
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0370269308015062
Volltext
Verfasserangaben:Joseph Ben Geloun, Razvan Gurau, Vincent Rivasseau
Beschreibung
Zusammenfassung:We prove that the β-function of the Grosse-Wulkenhaar model including a magnetic field vanishes at all order of perturbations. We compute the renormalization group flow of the relevant dynamic parameters and find a non-Gaussian infrared fixed point. Some consequences of these results are discussed.
Beschreibung:Available online 16 December 2008
Gesehen am 28.09.2022
Beschreibung:Online Resource
ISSN:1873-2445
DOI:10.1016/j.physletb.2008.12.027