The standard model on non-commutative space-time
By X. Calmet, B. Jurčo, P. Schupp, J. Wess, M. Wohlgenannt. 2001
279 citations recorded by the source corpus.
Abstract. We consider the standard model on a non-commutative space and expand the action in the non-commutativity parameter $\theta^{\mu \nu}$. No new particles are introduced; the structure group is $SU(3)\times SU(2)\times U(1)$. We derive the leading order action. At zeroth order the action coincides with the ordinary standard model. At leading order in $\theta^{\mu\nu}$ 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.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/7871275afdf761a7959a138d4c3d1792e8d7785f
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In Statistical and Nonlinear Physics
Citations in the corpus
- Review of the phenomenology of noncommutative geometry (2002, methodology): “It may well be that, as pointed out in [16, 31], IR/UV may have a novel interpretation which is not disastrous for the theory (see for example [32]), or IR/UV may simply not be an observable problem at all.”