A conference in honor of Vincent Rivasseau
25-27 Nov 2015 Paris (France)
On a power counting theorem for a p^{2a}φ^4 tensor field theory
Joseph Ben Geloun  1  
1 : Albert Einstein Institute
Potsdam-Golm -  Germany

I will discuss a new type of Tensorial Field Theory on copies of U(1), incorporating a Laplacian on the φ^4 interaction. A power counting theorem follows a multi-scale analysis and, clearly, we can realize that the terms which were power-counting suppressed in the usual theory become, in some cases, the dominant contributions. This is encouraging for identifying new types of tensor models having a scaling limit different from the so-called branched polymers.



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