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

Joseph Ben Geloun (1, 2) , Razvan Gurau (3) , Vincent Rivasseau (3)

1 Faculté des Sciences et Techniques
2 ICMPA-UNESCO - International Chair of Mathematical Physics and Applications
3 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

We prove that the beta 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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Joseph Ben Geloun, Razvan Gurau, Vincent Rivasseau. Vanishing beta function for Grosse-Wulkenhaar model in a magnetic field. Physics Letters B, 2009, 671, pp.284-290. ⟨hal-00283279⟩