Effective Mass Generation of Off-diagonal Gluons and Abelian Dominance in the Maximally Abelian Gauge in QCD
arXiv:hep-lat/9909096 · doi:10.1016/S0920-5632(00)91692-X
Abstract
We study the properties of gluons in QCD in the maximally abelian (MA) gauge. In the MA gauge, the off-diagonal gluon behaves as the massive vector boson with the mass $\Meff \simeq 1.2 {\rm GeV}$, and therefore the off-diagonal gluon cannot carry the long-range interaction for $r \gg \Meff^{-1} \simeq 0.2$ fm. The essence of the infrared abelian dominance in the MA gauge is physically explained with the generation of the off-diagonal gluon mass $\Meff \simeq 1.2 {\rm GeV}$ induced by the MA gauge fixing, and the off-diagonal gluon mass generation would predict general infrared abelian dominance in QCD in the MA gauge. We report also the off-diagonal gluon propagator at finite temperature.
Talk given at International Symposium on Lattice Field Theory (LATTICE 99), Pisa, 29 June - 3 July 1999