The standard model on non-commutative space-time

  • X. Calmet
  • B. Jurčo
  • P. Schupp
  • J. Wess
  • M. Wohlgenannt
Theoretical physics

DOI: 10.1007/s100520100873

Cite this article as:
Calmet, X., Jurčo, B., Schupp, P. et al. Eur. Phys. J. C (2002) 23: 363. doi:10.1007/s100520100873

Abstract.

We consider the standard model on a non-commutative space and expand the action in the non-commutativity parameter \(\theta^{\mu \nu}\). No new particles are introduced; the structure group is \(SU(3)\times SU(2)\times U(1)\). We derive the leading order action. At zeroth order the action coincides with the ordinary standard model. At leading order in \(\theta^{\mu\nu}\) we find new vertices which are absent in the standard model on commutative space-time. The most striking features are couplings between quarks, gluons and electroweak bosons and many new vertices in the charged and neutral currents. We find that parity is violated in non-commutative QCD. The Higgs mechanism can be applied. QED is not deformed in the minimal version of the NCSM to the order considered.

Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002

Authors and Affiliations

  • X. Calmet
    • 1
  • B. Jurčo
    • 1
  • P. Schupp
    • 1
  • J. Wess
    • 1
  • M. Wohlgenannt
    • 1
  1. 1.Sektion Physik, Universität München, Theresienstraße 37, 80333 München, Germany DE
  2. 2.Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany DE

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