The standard model on non-commutative space-time: strong interactions included

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Abstract.

This paper is a direct extension of our earlier work on electroweak currents and the Higgs sector in the standard model on non-commutative space-time, now with strong interactions included. Apart from the non-commutative corrections to standard model strong interactions, several new interactions appear. The most interesting ones are gluonic interactions with the electroweak sector. They are elaborated here in detail and the Feynman rules for interactions up to \({\cal O}(g^2_s \theta)\) are provided.

Received: 18 March 2005, Revised: 13 May 2005, Published online: 19 July 2005