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 $12^3\times 24$ and $\beta =2.3,2.35$. 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.

Comments: Talk presented by K. Amemiya at ``INNOCOM '97'', XVII RCNP the International Symposium on Innovative Computational Methods in Nuclear Many-Body Problems, 10 - 15 November 1997, in Osaka, Japan, 3 pages, Plain Latex