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Non-commutative Renormalization

  • Vincent Rivasseau
Part of the Progress in Mathematical Physics book series (PMP, volume 53)

Abstract

A new version of scale analysis and renormalization theory has been found on the non-commutative Moyal space. It could be useful for physics beyond the standard model or for standard physics in strong external fields. The good news is that quantum field theory is better behaved on non-commutative than on ordinary space: indeed it has no Landau ghost. We review this rapidly growing subject.

Keywords

Ward Identity Power Counting Feynman Graph Multiscale Analysis Internal Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag Basel 2007

Authors and Affiliations

  • Vincent Rivasseau
    • 1
  1. 1.Laboratoire de Physique Théorique, Bât. 210Université Paris XIOrsay CedexFrance

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