Infrared Behavior of the Gluon Propagator in Lattice Landau Gauge

Details Infrared Behavior of the Gluon Propagator in Lattice Landau Gauge Infrared Behavior of the Gluon Propagator in Lattice Landau Gauge

1997-09-08

arxiv.org/abs/hep-lat/9709015v1

Phys.Lett. B422 (1998) 233-237

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages

Scientific paper

10.1016/S0370-2693(98)00046-X

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 $\beta = 0, 0.8, 1.2 and 1.6$, and for lattice sizes up to $30^4, 16^4, 20^4 and 24^4$ 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.

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