Propagators for Noncommutative Field Theories
High Energy Physics - Theory
2008-11-26 v2 Mathematical Physics
math.MP
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 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.
Keywords
Cite
@article{arxiv.hep-th/0512071,
title = {Propagators for Noncommutative Field Theories},
author = {R. Gurau and V. Rivasseau and F. Vignes-Tourneret},
journal= {arXiv preprint arXiv:hep-th/0512071},
year = {2008}
}
Comments
26 pages. Same results but improved version accroding to referee's suggestions