Renormalization of Non-Commutative Φ 44 Field Theory in x Space

  title={Renormalization of Non-Commutative Φ 44 Field Theory in x Space},
  author={Gurau and Magnen and Rivasseau and Vignes-Tourneret},
  • Gurau, Magnen, +1 author Vignes-Tourneret
  • Published 2008
In this paper we provide a new proof that the Grosse-Wulkenhaar noncommutative scalar Φ4 theory is renormalizable to all orders in perturbation theory, and extend it to more general models with covariant derivatives. Our proof relies solely on a multiscale analysis in x space. We think this proof is simpler and could be more adapted to the future study of these theories (in particular at the non-perturbative or constructive level). 
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