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arxiv: 0911.5101 · v3 · submitted 2009-11-26 · ✦ hep-lat · hep-ph· hep-th

BRST symmetry vs. Horizon condition in Yang-Mills theories

G. Burgio , M. Quandt , H. Reinhardt This is my paper
classification ✦ hep-lat hep-phhep-th
keywords brstchargeconfinementcoulombgaugetheoriesyang-millsbeyond
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We show that in SU(2) Yang-Mills theories a simple relation exists between lattice gluon propagators in Coulomb and Landau gauge and discuss the physical implications of such result. In particular, the realization of the Gribov-Zwanziger confinement mechanism in Coulomb gauge, linked to dual-superconductivity, would imply that the standard BRST charge must be ill defined non perturbatively. As a consequence, the Kugo-Ojima confinement criterion, which relies on BRST charge conservation beyond perturbation theory, would not be fulfilled.

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