Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-10-20
Eur.Phys.J.C50:661-671,2007
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 7 figures
Scientific paper
10.1140/epjc/s10052-007-0211-0
The simplest non commutative renormalizable field theory, the $\phi_4^4$
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.
Disertori Margherita
Rivasseau Vincent
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