# Quark confinement and the fractional quantum Hall effect

• Working in the physics of Wilson factor and Aharonov-Bohm effect, we find in the fluxtube-quark system the topology of a baryon consisting of 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 is 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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WANG Hai-Jun and GENG Wen-Tong. Quark confinement and the fractional quantum Hall effect[J]. Chinese Physics C, 2008, 32(9): 705-709. doi: 10.1088/1674-1137/32/9/006
WANG Hai-Jun and GENG Wen-Tong. Quark confinement and the fractional quantum Hall effect[J]. Chinese Physics C, 2008, 32(9): 705-709.
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Revised: 2008-04-09
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Quark confinement and the fractional quantum Hall effect

###### Corresponding author: WANG Hai-Jun,

Abstract:

Working in the physics of Wilson factor and Aharonov-Bohm effect, we find in the fluxtube-quark system the topology of a baryon consisting of 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 is 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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