Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-02-05
Phys.Rev.D81:074504,2010
Physics
High Energy Physics
High Energy Physics - Lattice
8 pages, 5 figures (10 EPS files), RevTeX4.1. V2: original figs. 4 and 5 compressed into a new fig. 5; a new fig. 4; sec. IV.B
Scientific paper
10.1103/PhysRevD.81.074504
The Coulomb-gauge ghost propagator, and the color-Coulomb potential, are computed in an ensemble of configurations derived from our recently proposed Yang-Mills vacuum wavefunctional in 2+1 dimensions. The results are compared to the corresponding values obtained by standard Monte Carlo simulations in three Euclidean dimensions. The agreement is quite striking for the Coulomb-gauge ghost propagator. The color-Coulomb potential rises linearly at large distances, but its determination suffers from rather large statistical fluctuations, due to configurations with very low values of $\mu_0$, the lowest eigenvalue of the Coulomb-gauge Faddeev-Popov operator. However, if one imposes cuts on the data, effectively leaving out configurations with very low $\mu_0$, the agreement of the potential in both sets of configurations is again satisfactory, although the errorbars grow systematically as the cutoff is eliminated.
Greensite Jeff
Olejnik Stefan
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