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Annales Henri Poincaré

, Volume 7, Issue 7–8, pp 1601–1628 | Cite as

Propagators for Noncommutative Field Theories

  • Razvan Gurau
  • Vincent Rivasseau
  • Fabien Vignes-Tourneret
Article

Abstract.

In this paper we provide exact expressions for propagators of noncommutative Bosonic or Fermionic field theories after adding terms of the Grosse-Wulkenhaar type to the usual free action in order to ensure Langmann–Szabo covariance. We emphasize the new Fermionic case and we give in particular all necessary bounds for the multiscale analysis and renormalization of the noncommutative Gross-Neveu model.

Communicated by Raimar Wulkenhaar

Keywords

Star Product Power Counting Multiscale Analysis Moyal Plane Noncommutative Phase Space 
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/Switzerland 2006

Authors and Affiliations

  • Razvan Gurau
    • 1
  • Vincent Rivasseau
    • 1
  • Fabien Vignes-Tourneret
    • 1
  1. 1.Laboratore de Physique Théorique, Bât. 210Université Paris XIOrsay CedexFrance

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