The Standard Model on Non-Commutative Space-Time

Details The Standard Model on Non-Commutative Space-Time The Standard Model on Non-Commutative Space-Time

2001-11-09

arxiv.org/abs/hep-ph/0111115v4

Eur.Phys.J.C23:363-376,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, v3: typos corrected, new appendix on alternative kinetic terms for gauge bosons; v4: typos corrected

Scientific paper

10.1007/s100520100873

We consider the Standard Model on a non-commutative space and expand the action in the non-commutativity parameter theta. No new particles are introduced, the structure group is SU(3) x SU(2) x U(1). We derive the leading order action. At zeroth order the action coincides with the ordinary Standard Model. At leading order in theta 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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