Eur. Phys. J. C (2008) 53: 459-466
https://doi.org/10.1140/epjc/s10052-007-0465-6

Regular Article - Theoretical Physics

Vacuum configurations for renormalizable non-commutative scalar models

¹ Laboratoire de Physique Théorique, Bât. 210, CNRS UMR 8627, Université Paris XI, 91405, Orsay Cedex, France
² Mathematisches Institut der Westfälischen Wilhelms-Universität, Einsteinstraße 62, 48149, Münster, Germany
³ Dep. Fizica Teoretica, Institutul de Fizica si Inginerie Nucleara H. Hulubei, P.O. Box MG-6, 077125, Bucuresti-Magurele, Romania

^* e-mail: jean-christophe.wallet@th.u-psud.fr

Received: 26 September 2007
Published online: 30 November 2007

Abstract

In this paper we find non-trivial vacuum states for the renormalizable non-commutative φ⁴ model. An associated linear sigma model is then considered. We further investigate the corresponding spontaneous symmetry breaking.