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arXiv · hep-lat/9902023

Infrared behavior of the gluon propagator in lattice Landau gauge: the three-dimensional case

Attilio Cucchieri
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Abstract

We evaluate numerically the three-momentum-space gluon propagator in the lattice Landau gauge, for three-dimensional pure-SU(2) lattice gauge theory with periodic boundary conditions. Simulations are done for nine different values of the coupling $β$, from $β= 0$ (strong coupling) to $β= 6.0$ (in the scaling region), and for lattice sizes up to $V = 64^3$. In the limit of large lattice volume we observe, in all cases, a gluon propagator decreasing for momenta smaller than a constant value $p_{dec}$. From our data we estimate $p_{dec} \approx 350$ MeV. The result of a gluon propagator decreasing in the infrared limit has a straightforward interpretation as resulting from the proximity of the so-called first Gribov horizon in the infrared directions.

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Attilio Cucchieri. 1999-05-04. Infrared behavior of the gluon propagator in lattice Landau gauge: the three-dimensional case. https://doi.org/10.1103/physrevd.60.034508

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