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• W1605113314 abstract "We derive the equations of time-independent stochastic quantization, without reference to an unphysical fifth time, from the principle of gauge equivalence. It asserts that probability distributions P that give the same expectation values for gauge-invariant observables $〈W〉=ensuremath{int}mathrm{dAWP}$ are physically indistinguishable. This method escapes the Gribov critique. We derive an exact system of equations that closely resembles the Dyson-Schwinger equations of Faddeev-Popov theory. The system is truncated and solved nonperturbatively, by means of a power law ansatz, for the critical exponents that characterize the asymptotic form at $kensuremath{approx}0$ of the gluon propagator in Landau gauge. For the transverse and longitudinal parts, we find, respectively, ${D}^{T}ensuremath{sim}{(k}^{2}{)}^{ensuremath{-}1ensuremath{-}{ensuremath{alpha}}_{T}}ensuremath{approx}{(k}^{2}{)}^{0.043},$ suppressed and in fact vanishing, though weakly, and ${D}^{L}ensuremath{sim}{a(k}^{2}{)}^{ensuremath{-}1ensuremath{-}{ensuremath{alpha}}_{L}}ensuremath{approx}{a(k}^{2}{)}^{ensuremath{-}1.521},$ enhanced, with ${ensuremath{alpha}}_{T}=ensuremath{-}2{ensuremath{alpha}}_{L}.$ Although the longitudinal part vanishes with the gauge parameter a in the Landau-gauge limit $stackrel{ensuremath{rightarrow}}{a}0$ there are vertices of order ${a}^{ensuremath{-}1}$ so, counterintuitively, the longitudinal part of the gluon propagator does contribute in internal lines in the Landau gauge, replacing the ghost that occurs in Faddeev-Popov theory. We compare our results with the corresponding results in Faddeev-Popov theory." @default.
• W1605113314 created "2016-06-24" @default.
• W1605113314 creator A5033929929 @default.
• W1605113314 date "2003-05-02" @default.
• W1605113314 modified "2023-10-18" @default.
• W1605113314 title "Time-independent stochastic quantization, Dyson-Schwinger equations, and infrared critical exponents in QCD" @default.
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• W1605113314 doi "https://doi.org/10.1103/physrevd.67.105001" @default.
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