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2005-01-03 - Article/Dans un journal avec peer-review - Anglais - 33 page(s)

Bekaert X., Boulanger Nicolas , Cnockaert S., "No self-interaction for two-column massless fields" in Journal of Mathematical Physics, J.Math.Phys. 46 (2005) 012303-012335

  • Edition : American Institute of Physics, Melville (NY)
  • Codes CREF : Physique théorique et mathématique (DI1210), Algèbre commutative et algèbre homologique (DI1148), Théorie quantique des champs (DI1215)
  • Unités de recherche UMONS : Mécanique et gravitation (S884)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) We investigate the problem of introducing consistent self-couplings in free theories for mixed tensor gauge fields whose symmetry properties are characterized by Young diagrams made of two columns of arbitrary (but different) lengths. We prove that, in flat space, these theories admit no local, Poincaré-invariant, smooth, self-interacting deformation with at most two derivatives in the Lagrangian. Relaxing the derivative and Lorentz-invariance assumptions, there still is no deformation that modifies the gauge algebra, and in most cases no deformation that alters the gauge transformations. Our approach is based on a Becchi-Rouet-Stora-Tyutin (BRST) -cohomology deformation procedure

Identifiants :
  • DOI : 10.1063/1.1823032