Gluon Propagator in Maximally Abelian Gauge and Abelian Dominance for Long-Range Interaction
Abstract
We study the gluon propagator in the MA gauge with the lattice QCD Monte Carlo simulation. The simulation is performed using the heat-bath algorithm on the SU(2) lattice with 123 × 24 and β = 2.3, 2.35. The propagator of the off-diagonal charged gluon behaves as the massive gauge boson and provides the short-range interaction, while the diagonal gluon propagates long distance. This is the origin of the abelian dominance in the long-range physics.
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