Talk presented by Kazuhisa Amemiya

Parallel Session: Confinement III

Thursday July 1st, 15.50 - 16.10, Fermi Room

Off-diagonal Gluon Mass and Essence of Infrared Abelian Dominance in the Maximally Abelian Gauge

Abstract: We study the propagator and the effective mass of off-diagonal gluons in the MA gauge to investigate the essence of the infrared abelian dominance using the SU(2) lattice QCD simulation. In the MA gauge, off-diagonal gluons behave as the massive vector boson with the mass ${M_{\rm ch}} \simeq 0.9 {\rm~ GeV}$, and therefore off-diagonal gluons can not contribute to the long-range phenamena as $r \gg {M_{\rm ch}}^{-1} \simeq 0.2$ fm. The essence of the infrared abelian dominance in the MA gauge is physically explained with the generation of the off-diagonal gluon mass $M_{\rm ch}\simeq 0.9 {\rm~ GeV}$ induced by the MA gauge fixing, and the off-diagonal gluon mass generation predicts the general infrared abelian dominance in QCD in the MA gauge. We will report also the off-diagonal gluon mass at the finite temparature in the lattice QCD.

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