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

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

2007-05-17

arxiv.org/abs/0705.2476v1

Phys. Rev. D77, 045013 (2008)

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure

Scientific paper

10.1103/PhysRevD.77.045013

Based 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.

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