Confinement without a center: the exceptional group G(2)

Abstract

We discuss theories with the exceptional centerless gauge group G(2), paying attention to confinement and the pattern of chiral symmetry breaking. Exploiting the Higgs mechanism to break the symmetry down to SU(3), we also present how the familiar features of confinement and chiral symmetry breaking of SU(3) gauge theories reemerge. G(2) gauge theories show up as an unusual theoretical framework to study SU(3) gauge theories without the ``luxury'' of a center.

3 pages, 1 figure, Lattice2002 (Topology and Confinement)

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• Beta-functions for a SU(2) Matrix Model in 2 + epsilon Dimensions
• Low-Energy Dynamics of 3d $\mathcal{N}=2$ $G_2$ Supersymmetric Gauge Theory