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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Bibliographic Details
Main Authors: Ben Geloun, Joseph (Author) , Gurǎu, Rǎzvan (Author) , Rivasseau, Vincent (Author)
Format: Article (Journal)
Language:English
Published: 2009
In: Physics letters
Year: 2009, Volume: 671, Issue: 2, Pages: 284-290
ISSN:1873-2445
DOI:10.1016/j.physletb.2008.12.027
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.physletb.2008.12.027
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0370269308015062
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Author Notes:Joseph Ben Geloun, Razvan Gurau, Vincent Rivasseau
Description
Summary: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.
Item Description:Available online 16 December 2008
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Physical Description:Online Resource
ISSN:1873-2445
DOI:10.1016/j.physletb.2008.12.027