Infrared Behavior of the Gluon Propagator in Lattice Landau Gauge

Abstract

We evaluate numerically the four-momentum-space gluon propagator in lattice Landau gauge, for pure SU(2) lattice gauge theory with periodic boundary conditions. Simulations are done in the strong-coupling regime, namely at $\beta =0,0.8,1.2and1.6$, and for lattice sizes up to $30^4,16^4,20^{4}and24^4$ respectively. In the limit of large lattice volume, we observe in all cases a gluon propagator decreasing as the momentum goes to zero. This counter-intuitive result has a straightforward interpretation as resulting from the proximity of the so-called first Gribov horizon in infrared directions.

Comments: 10 pages