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arxiv: hep-th/0512071 · v2 · submitted 2005-12-06 · ✦ hep-th · math-ph· math.MP

Propagators for Noncommutative Field Theories

classification ✦ hep-th math-phmath.MP
keywords noncommutativefermionicfieldpropagatorstheoriesaddinganalysisbosonic
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In this paper we provide exact expressions for propagators of noncommutative Bosonic or Fermionic field theories after adding terms of the Grosse-Wulkenhaar type 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.

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