Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1999-02-17
Phys.Rev. D60 (1999) 034508
Physics
High Energy Physics
High Energy Physics - Lattice
14 pages, BI-TP 99/03 preprint, correction in the Acknowledgments section. To appear in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.60.034508
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 $\beta$, from $\beta = 0$ (strong coupling) to $\beta = 6.0$ (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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