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Quark confinement and the fractional quantum Hall effect
Authors:WANG Hai-Jun  GENG Wen-Tong
Abstract:Working in the physics of Wilson factor and Aharonov-Bohm effect,we find in the fluxtubequark 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.
Keywords:QCD  confinement  Wilson factor  Aharonov-Bohm effect  fractional quantum Hall effect
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