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arXiv · 1604.07009

Numerical Evaluation of the Bose-Ghost Propagator in Minimal Landau Gauge on the Lattice

Attilio Cucchieri·Tereza Mendes
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Abstract

We present numerical details of the evaluation of the so-called Bose-ghost propagator in lattice minimal Landau gauge, for the SU(2) case in four Euclidean dimensions. This quantity has been proposed as a carrier of the confining force in the Gribov-Zwanziger approach and, as such, its infrared behavior could be relevant for the understanding of color confinement in Yang-Mills theories. Also, its nonzero value can be interpreted as direct evidence of BRST-symmetry breaking, which is induced when restricting the functional measure to the first Gribov region Omega. Our simulations are done for lattice volumes up to 120^4 and for physical lattice extents up to 13.5 fm. We investigate the infinite-volume and continuum limits.

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Attilio Cucchieri, Tereza Mendes. 2016-04-24. Numerical Evaluation of the Bose-Ghost Propagator in Minimal Landau Gauge on the Lattice. https://doi.org/10.1103/physrevd.94.014505

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