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

Geloun, Joseph Ben; Gurau, Razvan; Rivasseau, Vincent

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

Authors

Geloun, Joseph Ben

Gurau, Razvan

Rivasseau, Vincent

Description

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.
14 pages, 5 figures