English

Vanishing of Beta Function of Non Commutative $\Phi^4_4$ Theory to all orders

High Energy Physics - Theory 2008-11-26 v1

Abstract

The simplest non commutative renormalizable field theory, the ϕ4\phi_4 model on four dimensional Moyal space with harmonic potential is asymptotically safe up to three loops, as shown by H. Grosse and R. Wulkenhaar, M. Disertori and V. Rivasseau. We extend this result to all orders.

Keywords

Cite

@article{arxiv.hep-th/0612251,
  title  = {Vanishing of Beta Function of Non Commutative $\Phi^4_4$ Theory to all orders},
  author = {M. Disertori and R. Gurau and J. Magnen and V. Rivasseau},
  journal= {arXiv preprint arXiv:hep-th/0612251},
  year   = {2008}
}

Comments

12 pages, 3 figures