One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model

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dc.creatorLakhoua, Ahmed
dc.creatorVignes-Tourneret, Fabien
dc.creatorWallet, Jean-Christophe
dc.date2007-01-18
dc.date.accessioned2026-07-07T11:03:08Z
dc.date.available2026-07-07T11:03:08Z
dc.descriptionWe compute at the one-loop order the beta-functions for a renormalisable non-commutative analog of the Gross Neveu model defined on the Moyal plane. The calculation is performed within the so called x-space formalism. We find that this non-commutative field theory exhibits asymptotic freedom for any number of colors. The beta-function for the non-commutative counterpart of the Thirring model is found to be non vanishing.
dc.description16 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0701170
dc.identifierhttp://arxiv.org/abs/hep-th/0701170
dc.identifierEur.Phys.J.C52:735-742,2007
dc.identifierdoi:10.1140/epjc/s10052-007-0424-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188485
dc.subjectHigh Energy Physics - Theory
dc.titleOne-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model
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