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Vacuum configurations for renormalizable non-commutative scalar models

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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.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique, Bât. 210, CNRS UMR 8627, Université Paris XI, 91405, Orsay Cedex, France

    A. de Goursac, A. Tanasa & J.-C. Wallet

  2. Mathematisches Institut der Westfälischen Wilhelms-Universität, Einsteinstraße 62, 48149, Münster, Germany

    A. de Goursac

  3. Dep. Fizica Teoretica, Institutul de Fizica si Inginerie Nucleara H. Hulubei, P.O. Box MG-6, 077125, Bucuresti-Magurele, Romania

    A. Tanasa

Authors
  1. A. de Goursac
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  2. A. Tanasa
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  3. J.-C. Wallet
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Correspondence to J.-C. Wallet.

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de Goursac, A., Tanasa, A. & Wallet, JC. Vacuum configurations for renormalizable non-commutative scalar models. Eur. Phys. J. C 53, 459–466 (2008). https://doi.org/10.1140/epjc/s10052-007-0465-6

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  • DOI: https://doi.org/10.1140/epjc/s10052-007-0465-6

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