Eur. Phys. J. C 23, 363-376 (2002)
https://doi.org/10.1007/s100520100873

The standard model on non-commutative space-time

¹ Sektion Physik, Universität München, Theresienstrasse 37, 80333 München, Germany
² Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany

Received: 29 November 2001
Published online: 25 January 2002

Abstract

We consider the standard model on a non-commutative space and expand the action in the non-commutativity parameter θ^μv. No new particles are introduced; the structure group is SU(3) × SU(2) × U(1). We derive the leading order action. At zeroth order the action coincides with the ordinary standard model. At leading order in θ^μv 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.