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• W2026534401 abstract "Three decades of work on the quantum field equations of pure Yang-Mills theory have distilled two families of solutions in Landau gauge. Both coincide for high (Euclidean) momentum with known perturbation theory, and both predict an infrared suppressed transverse gluon propagator, but whereas the solution known as scaling features an infrared power law for the gluon and ghost propagators, the massive solution rather describes the gluon as a vector boson that features a finite Debye screening mass. In this work we examine the gauge dependence of these solutions by adopting stochastic quantization. What we find, in four dimensions and in a rainbow approximation, is that stochastic quantization supports both solutions in Landau gauge but the scaling solution abruptly disappears when the parameter controlling the drift force is separated from zero (soft gauge-fixing), recovering only the perturbative propagators; the massive solution seems to survive the extension outside Landau gauge. These results are consistent with the scaling solution being related to the existence of a Gribov horizon, with the massive one being more general. We also examine the effective action in Faddeev-Popov quantization that generates the rainbow and we find, for a bare vertex approximation, that the massive-type solutions minimize the quantum effective action." @default.
• W2026534401 created "2016-06-24" @default.
• W2026534401 creator A5017272298 @default.
• W2026534401 creator A5065621266 @default.
• W2026534401 date "2012-09-26" @default.
• W2026534401 modified "2023-10-01" @default.
• W2026534401 title "Two infrared Yang-Mills solutions in stochastic quantization and in an effective action formalism" @default.
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• W2026534401 doi "https://doi.org/10.1103/physrevd.86.065034" @default.
• W2026534401 hasPublicationYear "2012" @default.
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