Topological Discrete Algebra, Ground State Degeneracy, and Quark Confinement in QCD

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dc.creatorSato, Masatoshi
dc.date2007-05-17
dc.date.accessioned2026-07-07T12:59:13Z
dc.date.available2026-07-07T12:59:13Z
dc.descriptionBased on the permutation group formalism, we present a discrete symmetry algebra in QCD. The discrete algebra is hidden symmetry in QCD, which is manifest only on a space-manifold with non-trivial topology. Quark confinement in the presence of the dynamical quarks is discussed in terms of the discrete symmetry algebra. It is shown that the quark deconfinement phase has the ground state degeneracy depending on the topology of the space, which gives a gauge-invariant distinction between the confinement and deconfinement phases. We also point out that new quantum numbers relating to the fractional quantum Hall effect exist in the deconfinement phase.
dc.description11 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0705.2476
dc.identifierhttp://arxiv.org/abs/0705.2476
dc.identifierPhys. Rev. D77, 045013 (2008)
dc.identifierdoi:10.1103/PhysRevD.77.045013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225506
dc.subjectHigh Energy Physics - Theory
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleTopological Discrete Algebra, Ground State Degeneracy, and Quark Confinement in QCD
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