Quark confinement and the fractional quantum Hall effect

WANG Hai-Jun; GENG Wen-Tong

doi:10.1088/1674-1137/32/9/006

Chinese Physics C> 2008, Vol. 32> Issue(9) : 705-709 DOI: 10.1088/1674-1137/32/9/006

Quark confinement and the fractional quantum Hall effect

WANG Hai-Jun ^, ,
GENG Wen-Tong

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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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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. doi: 10.1088/1674-1137/32/9/006 shu

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Received: 2007-11-20
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

Quark confinement and the fractional quantum Hall effect

WANG Hai-Jun ^,
GENG Wen-Tong

Corresponding author: WANG Hai-Jun,

Received Date: 2007-11-20
Accepted Date: 2008-04-09
Available Online: 2008-09-05

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.