Spontaneous reduction of noncommutative gauge symmetry and model building
نویسندگان
چکیده
We propose a mechanism for the spontaneous (gauge-invariant) reduction of noncommutative U(n) gauge theories down to SU(n). This can be achieved through the condensation of composite 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 anomalyfree fully gauge invariant noncommutative Standard Model based on the minimal gauge group U(3)×U(2)×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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