The standard model on non-commutative space-time
Sektion Physik, Universität München, Theresienstrasse 37, 80333 München, Germany
2 Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany
Published online: 25 January 2002
We consider the standard model on a non-commutative space and expand the action in the non-commutativity parameter θμv. 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 θμv 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.
© Società Italiana di Fisica, Springer-Verlag, 2002