Quark Confinement and the Fractional Quantum Hall Effect

Details Quark Confinement and the Fractional Quantum Hall Effect Quark Confinement and the Fractional Quantum Hall Effect

2007-08-27

arxiv.org/abs/0708.3538v2

Chin.Phys.C32:705,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 2 figures, graphs regulated

Scientific paper

10.1088/1674-1137/32/9/006

Working in the physics of Wilson factor and Aharonov-Bohm effect, we find in the fluxtube-quark system the topology of a baryon consisting three heavy flavor quarks resembles that of the fractional quantum Hall effect (FQHE) in condensed matter. This similarity yields the result that the constituent quarks of baryon have the "filling factor" 1/3, thus the previous conjecture that quark confinement is a correlation effect was confirmed. Moreover, by deriving a Hamiltonian of the system analogous to that of FQHE, we predict an energy gap for the ground state of a heavy three-quark system.

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