Two and Three Loops Beta Function of Non Commutative $Φ^4_4$ Theory
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
The simplest non commutative renormalizable field theory, the $ϕ_4^4$ model on four dimensional Moyal space with harmonic potential is asymptotically safe at one loop, as shown by H. Grosse and R. Wulkenhaar. We extend this result up to three loops. If this remains true at any loop, it should allow a full non perturbative construction of this model.
24 pages, 7 figures
24 pages, 7 figures