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arXiv · 1706.04681

Locating the Gribov horizon

Fei Gao·Si-Xue Qin·Craig D. Roberts·Jose Rodriguez-Quintero
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Abstract

We explore whether a tree-level expression for the gluon two-point function, supposed to express effects of an horizon term introduced to eliminate the Gribov ambiguity, is consistent with the propagator obtained in simulations of lattice-regularised quantum chromodynamics (QCD). In doing so, we insist that the gluon two-point function obey constraints that ensure a minimal level of consistency with parton-like behaviour at ultraviolet momenta. In consequence, we are led to a position which supports a conjecture that the gluon mass and horizon scale are equivalent emergent mass-scales, each with a value of roughly $0.5\,$GeV; and wherefrom it appears plausible that the dynamical generation of a running gluon mass may alone be sufficient to remove the Gribov ambiguity.

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Fei Gao, Si-Xue Qin, Craig D. Roberts, Jose Rodriguez-Quintero. 2017-06-14. Locating the Gribov horizon. https://doi.org/10.1103/physrevd.97.034010

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