Renormalization of the Orientable Non-commutative Gross-Neveu Model

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dc.creatorVignes-Tourneret, Fabien
dc.date2006-06-29
dc.date.accessioned2026-07-07T11:07:20Z
dc.date.available2026-07-07T11:07:20Z
dc.descriptionWe prove that the non-commutative Gross-Neveu model on the two-dimensional Moyal plane is renormalizable to all orders. Despite a remaining UV/IR mixing, renormalizability can be achieved. However, in the massive case, this forces us to introduce an additional counterterm of the form "psibar i gamma^{0} gamma^{1} psi". The massless case is renormalizable without such an addition.
dc.description45 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0606069
dc.identifierhttp://arxiv.org/abs/math-ph/0606069
dc.identifierAnnalesHenriPoincare8:427-474,2007
dc.identifierdoi:10.1007/s00023-006-0312-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189811
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalization of the Orientable Non-commutative Gross-Neveu Model
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