Eur. Phys. J. C (2006) 47: 241-245
https://doi.org/10.1140/epjc/s2006-02547-1

Theoretical Physics

Spontaneous reduction of noncommutative gauge symmetry and model building

¹ High Energy Physics Division, Department of Physical Sciences, University of Helsinki and Helsinki Institute of Physics, 00014, Helsinki, Finland
² Department of Physics and Astronomy, UNC, Chapel Hill, NC, 27599-3255, USA
³ Andronikashvili Institute of Physics, 0177, Tbilisi, Georgia

^* e-mail: chaichia@cc.helsinki.fi

Received: 23 December 2005
Revised: 25 January 2006
Published online: 20 April 2006

Abstract

We propose a mechanism for the spontaneous (gauge-invariant) reduction of noncommutative gauge theories down to SU(n). This can be achieved through the condensation of composite gauge invariant fields that involve half-infinite Wilson lines in the trace-U(1) noninvariant and SU(n) preserving direction. Based on this mechanism, we discuss an anomaly-free fully gauge invariant noncommutative standard model based on the minimal gauge group , 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.