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The standard model on non-commutative space-time

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

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.

Keywords

Structure Group Zeroth Order Striking Feature Neutral Current Higgs Mechanism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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

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