Confinement without a center: the exceptional group G(2)
K. Holland, P. Minkowski, M. Pepe, U.-J. Wiese
TL;DR
This paper explores G(2) gauge theories, an exceptional centerless group, analyzing confinement and chiral symmetry breaking, and demonstrates how breaking G(2) down to SU(3) recovers familiar features of quantum chromodynamics.
Contribution
It introduces the study of G(2) gauge theories, highlighting their unique properties and showing how they relate to SU(3) theories through the Higgs mechanism.
Findings
G(2) gauge theories lack a center, affecting confinement properties.
Breaking G(2) to SU(3) via Higgs mechanism restores familiar confinement and chiral symmetry breaking.
G(2) provides a novel framework to study SU(3) gauge theories without a center.
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.
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