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The standard model on non-commutative space-time
journal contribution
posted on 2023-06-08, 09:29 authored by Xavier CalmetXavier Calmet, B Jurco, P Schupp, J Wess, M WohlgenanntWe consider the standard model on a non-commutative space and expand the action in the non-commutativity parameter theta(munu). No now particles are introduced; the structure group is SU(3) xSU(2) xU(1). We derive the leading order action. At zeroth order the action coincides with the ordinary standard model. At leading order in theta(munu) we find now 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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Publication status
- Published
Journal
European Physical Journal C: Particles and FieldsISSN
1434-6044Publisher
EDP SciencesExternal DOI
Issue
2Volume
23Page range
363-376Department affiliated with
- Physics and Astronomy Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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