Infrared Behavior of the Gluon Propagator in Lattice Landau Gauge
Attilio Cucchieri
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 β= 0, 0.8, 1.2 and 1.6, and for lattice sizes up to 304, 164, 204 and 244 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.
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