The standard model on non-commutative space-time

Calmet, X, Jurčo, B, Schupp, P, Wess, J and Wohlgenannt, M (2002) The standard model on non-commutative space-time. European Physical Journal C: Particles and Fields, 23 (2). pp. 363-376. ISSN 1434-6044

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We 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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Depositing User: Xavier Calmet
Date Deposited: 06 Feb 2012 21:15
Last Modified: 22 Jan 2013 16:40
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