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

The simplest non commutative renormalizable field theory, the \(\phi_4\) 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.

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Bibliographic Details
Published in:arXiv.org 2006-12
Main Authors: Disertori, M, Gurau, R, Magnen, J, Rivasseau, V
Format: Article
Language:English
Subjects:
Field theory
Online Access:Get full text
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Summary:The simplest non commutative renormalizable field theory, the \(\phi_4\) 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.
ISSN:2331-8422
DOI:10.48550/arxiv.0612251