Non-Commutative Renormalization

  • Vincent Rivasseau
  • Fabien Vignes-Tourneret
Part of the Progress in Mathematics book series (PM, volume 251)


We review the recent approach of Grosse and Wulkenhaar to the perturbative renormalization of non-commutative field theory and suggest a related constructive program. This paper is dedicated to J. Bros on his 70th birthday.


Matrix Model Star Product Matrix Base Commutative Case Gaussian Wave Packet 
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Copyright information

© Birkhäuser Verlag 2007

Authors and Affiliations

  • Vincent Rivasseau
    • 1
  • Fabien Vignes-Tourneret
    • 1
  1. 1.Laboratoire de Physique ThéoriqueUniversité Paris-Sud XIOrsay CedexFrance

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