ar X iv : h ep - p h / 01 11 11 5 v 1 9 N ov 2 00 1
نویسنده
چکیده
We consider the Standard Model on a non-commutative space and expand the action in the non-commutativity parameter θ . 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 θ 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 to the order considered.
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