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Exceptional Confinement in G(2) Gauge Theory

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arxiv hep-lat/0302023 v1 pith:SIHYCTD5 submitted 2003-02-27 hep-lat hep-phhep-th

K. Holland (San Diego U.) , P. Minkowski (Bern U.) , M. Pepe (Bern U.) , U.-J. Wiese (Bern U. , MIT) This is my paper · ORCID
classification hep-lathep-phhep-th
keywords gaugegluonstheoryconfinementexceptionalquarkssymmetrytheories
verification ladder T0 review T1 audit T2 compute T3 formal
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We study theories with the exceptional gauge group G(2). The 14 adjoint "gluons" of a G(2) gauge theory transform as {3}, {3bar} and {8} under the subgroup SU(3), and hence have the color quantum numbers of ordinary quarks, anti-quarks and gluons in QCD. Since G(2) has a trivial center, a "quark" in the {7} representation of G(2) can be screened by "gluons". As a result, in G(2) Yang-Mills theory the string between a pair of static "quarks" can break. In G(2) QCD there is a hybrid consisting of one "quark" and three "gluons". In supersymmetric G(2) Yang-Mills theory with a {14} Majorana "gluino" the chiral symmetry is Z(4)_\chi. Chiral symmetry breaking gives rise to distinct confined phases separated by confined-confined domain walls. A scalar Higgs field in the {7} representation breaks G(2) to SU(3) and allows us to interpolate between theories with exceptional and ordinary confinement. We also present strong coupling lattice calculations that reveal basic features of G(2) confinement. Just as in QCD, where dynamical quarks break the Z(3) symmetry explicitly, G(2) gauge theories confine even without a center. However, there is not necessarily a deconfinement phase transition at finite temperature.

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Cited by 2 Pith papers

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  1. Strongly Interacting Dark Matter admixed Neutron Stars

    hep-ph 2025-03 unverdicted novelty 7.0 of 10

    Strongly interacting dark matter described by a first-principles G2 gauge-theory equation of state can be mixed into neutron stars while remaining compatible with current observational constraints.

  2. AMSB in Truly Confining Gauge Theories

    hep-th 2026-08 conditional novelty 6.0 of 10

    Adding small AMSB to t-confining SUSY gauge theories moves the ground state to a superpotential branch and predicts discrete and flavor symmetry breaking such as Z6 to Z2 and Z16 x SU(2) to SO(2).

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