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- W3119308524 abstract "We study the gluon propagator in the Landau gauge in SU(3) lattice QCD at $beta$=5.7, 5.8 and 6.0 at the quenched level. The Euclidean Landau-gauge gluon propagator $D(r)equiv D_{mumu}^{aa}(x)/24$ is found to be well described by four-dimensional Yukawa-type function $e^{-mr}/r$ in the infrared and intermediate region of $r equiv (x_mu x_mu)^{1/2}$ = 0.1 $sim$ 1.0fm. The infrared effective gluon mass is obtained as $m simeq$ 600MeV. Associated with the 4D Yukawa-type gluon propagator, we derive analytical expressions for the zero-spatial-momentum propagator $D_0(t)$, the effective mass $M_{rm eff}(t)$, and the spectral function $rho(omega)$ of the gluon field. Remarkably, the obtained gluon spectral function $rho(omega)$ is almost negative definite, except for a positive $delta$-functional peak at $omega=m$. Since the Yukawa-type propagation indicates a three-dimensional space-time character, we consider a hypothesis of an effective dimensional reduction by generalized Parisi-Sourlas mechanism in a stochastic color-magnetic vacuum of infrared QCD." @default.
- W3119308524 created "2021-01-18" @default.
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- W3119308524 date "2010-10-29" @default.
- W3119308524 modified "2023-09-27" @default.
- W3119308524 title "Lattice QCD Study for Gluon Propagator and Gluon Spectral Function" @default.
- W3119308524 doi "https://doi.org/10.48550/arxiv.1011.0007" @default.
- W3119308524 hasPublicationYear "2010" @default.
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