Propagators for Noncommutative Field Theories
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
KeywordsStar Product Power Counting Multiscale Analysis Moyal Plane Noncommutative Phase Space
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