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arXiv · 0911.5101

BRST symmetry vs. Horizon condition in Yang-Mills theories

G. Burgio·M. Quandt·H. Reinhardt
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Abstract

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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G. Burgio, M. Quandt, H. Reinhardt. 2010-03-22. BRST symmetry vs. Horizon condition in Yang-Mills theories. https://doi.org/10.1103/physrevd.81.074502

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