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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 n...

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Bibliographic Details
Main Authors: Gurǎu, Rǎzvan (Author) , Rivasseau, Vincent (Author) , Vignes-Tourneret, Fabien (Author)
Format: Article (Journal)
Language:English
Published: 2006-11-24
In: Annales Henri Poincaré
Year: 2006, Volume: 7, Issue: 7, Pages: 1601-1628
ISSN:1424-0661
DOI:10.1007/s00023-006-0296-2
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00023-006-0296-2
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Author Notes:Razvan Gurau, Vincent Rivasseau and Fabien Vignes-Tourneret
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Summary: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.
Item Description:Gesehen am 28.09.2022
Physical Description:Online Resource
ISSN:1424-0661
DOI:10.1007/s00023-006-0296-2

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