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.
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Received: 29 November 2001 / Published online: 25 January 2002
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Calmet, X., Jurčo, B., Schupp, P. et al. The standard model on non-commutative space-time. Eur. Phys. J. C 23, 363–376 (2002). https://doi.org/10.1007/s100520100873
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DOI: https://doi.org/10.1007/s100520100873