Spontaneous reduction of noncommutative gauge symmetry and model building

Details Spontaneous reduction of noncommutative gauge symmetry and model building Spontaneous reduction of noncommutative gauge symmetry and model building

2004-08-09

arxiv.org/abs/hep-th/0408065v2

Eur.Phys.J.C47:241-245,2006

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, no figures

Scientific paper

10.1140/epjc/s2006-02547-1

We propose a mechanism for the spontaneous (gauge-invariant) reduction of noncommutative ${\cal U}(n)$ gauge theories down to SU(n). This can be achieved through the condensation of composite ${\cal U}(n)$ gauge invariant fields that involves half-infinite Wilson lines in trace-U(1) noninvariant and SU(n) preserving direction. Based on this mechanism we discuss anomaly-free fully gauge invariant noncommutative Standard Model based on the minimal gauge group ${\cal U}(3)\times {\cal U}(2)\times {\cal U}(1)$, previously proposed, and show how it can be consistently reduced to the Standard Model with the usual particle spectrum. Charge quantization for quarks and leptons naturally follows from the model.

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