BRST symmetry vs. Horizon condition in Yang-Mills theories

Details BRST symmetry vs. Horizon condition in Yang-Mills theories BRST symmetry vs. Horizon condition in Yang-Mills theories

2009-11-26

arxiv.org/abs/0911.5101v3

Phys.Rev.D81:074502,2010

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, 5 figures. Some sections have been extended and references have been added. To appear in PRD.

Scientific paper

10.1103/PhysRevD.81.074502

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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