Gauge unification in noncommutative geometryC. A. Stephan
Institut für Mathematik, Universität Potsdam - Am Neuen Palais 10, 14469 Potsdam, Germany, EU
received 22 October 2007; accepted in final form 24 October 2008; published December 2008
published online 9 December 2008
Gauge unification is widely considered to be a desirable feature for extensions of the standard model. Unfortunately the standard model itself does not exhibit a unification of its running gauge couplings but a unification is required by grand unified theories as well as the noncommutative version of the standard model (CONNES A., Commun. Math. Phys., 182 (1996) 155; CHAMSEDDINE A. and CONNES A., Commun. Math. Phys., 186 (1996) 731). We will consider here the extension of the noncommutative standard model by vector doublets as proposed in SQUELLARI R. and STEPHAN C., J. Phys. A, 40 (2007) 10685. We will analyse greater in detail two consequences of this modification which had not been taken into account in the above-mentioned paper by Squellari and Stephan: 1) the altered relations of the coupling constants at unification energy compared to the well-known relation from grand unified theories and 2) the ability of the extended model to almost fulfil these relations at E ~ 1013 GeV.
12.60.-i - Models beyond the standard model.
11.15.-q - Gauge field theories.
02.40.Gh - Noncommutative geometry.
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