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2005-04-22 - Article/Dans un journal avec peer-review - Anglais - 15 page(s)

Brihaye Yves , Tchrakian D.H., "Yang-Mills sphalerons in all even spac-etime dimensions d = 2k, k > 2: k = 3,4" in Journal of Physics : A Mathematical & General, 38, 16, 3679-3693

  • Edition : Institute of Physics, Bristol (United Kingdom)
  • Codes CREF : Physique des particules élémentaires (DI1221), Physique théorique et mathématique (DI1210)
  • Unités de recherche UMONS : Physique théorique et mathématique (S814)
Texte intégral :

Abstract(s) :

(Anglais) The classical solutions to higher dimensional Yang-Mills (YM) systems, which form part of higher dimensional Einstein-YM (EYM) systems, are studied. These are the gravity-decoupling limits of the fully gravitating EYM solutions. In odd spacetime dimensions, depending on the choice of gauge group and its representation, these are either topologically stable or are unstable. Both cases are analysed, the latter numerically only. In even spacetime dimensions they are always unstable, describing saddle points of the energy, and can be described as sphalerons. This instability is analysed by constructing the non-contractible loops and calculating the Chern-Simons (CS) charges, and also perturbatively by numerically constructing the negative modes. This study is restricted to the simplest YM system in spacetime dimensions d = 6, 7, 8, which captures the qualitative features of the generic case.

Notes :
  • (Anglais) e-print: hep-th/0410008
Identifiants :
  • DOI : 10.1088/0305-4470/38/16/015