Vanishing of beta function of non-commutative Φ 4 4 theory to all orders
By M. Disertori, R. Gurau, J. Magnen, Vincent Rivasseau. 2006
196 citations recorded by the source corpus.
Abstract The simplest non-commutative renormalizable field theory, the ϕ 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.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/8515d6a3da0d5e4d70b48d569c0e065aa01809a9
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In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
- R. Gurau
- Vincent Rivasseau
- Sylvain Carrozza
- Adrian Tanasa
- Alejandro Perez
- Joseph Ben Geloun
- V. Rosenhaus
- D. Oriti
Citations in the corpus
- The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension (2011, background): “As some of the latter have been proven ultraviolet complete [28,29] one can”
- Colored Group Field Theory (2009, background): “Pursuing this analogy one step further, the non trivial fixed point of the Gross-Wulkenhaar model [28,29] opens up the intriguing possibility that GFTs are UV complete quantum field theories.”