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• W2080359232 abstract "We study the gluon propagator ${D}_{ensuremath{mu}ensuremath{nu}}^{ab}(x)$ in the Landau gauge in SU(3) lattice QCD at $ensuremath{beta}=5.7$, 5.8, and 6.0 at the quenched level. The effective gluon mass is estimated as $400--600text{ }text{ }mathrm{MeV}$ for $rensuremath{equiv}({x}_{ensuremath{alpha}}{x}_{ensuremath{alpha}}{)}^{1/2}=0.5--1.0text{ }text{ }mathrm{fm}$. Through the functional-form analysis of ${D}_{ensuremath{mu}ensuremath{nu}}^{ab}(x)$ obtained in lattice QCD, we find that the Landau-gauge gluon propagator ${D}_{ensuremath{mu}ensuremath{mu}}^{aa}(r)$ is well described by the Yukawa-type function ${e}^{ensuremath{-}mr}/r$ with $mensuremath{simeq}600text{ }text{ }mathrm{MeV}$ for $r=0.1--1.0text{ }text{ }mathrm{fm}$ in the four-dimensional Euclidean space-time. In the momentum space, the gluon propagator ${stackrel{texttildelow{}}{D}}_{ensuremath{mu}ensuremath{mu}}^{aa}({p}^{2})$ with $({p}^{2}{)}^{1/2}=0.5--3text{ }text{ }mathrm{GeV}$ is found to be well approximated with a new-type propagator of $({p}^{2}+{m}^{2}{)}^{ensuremath{-}3/2}$, which corresponds to the four-dimensional Yukawa-type propagator. Associated with the Yukawa-type gluon propagator, we derive analytical expressions for the zero-spatial-momentum propagator ${D}_{0}(t)$, the effective mass ${M}_{mathrm{eff}}(t)$, and the spectral function $ensuremath{rho}(ensuremath{omega})$ of the gluon field. The mass parameter $m$ turns out to be the effective gluon mass in the infrared region of $ensuremath{sim}1text{ }text{ }mathrm{fm}$. As a remarkable fact, the obtained gluon spectral function $ensuremath{rho}(ensuremath{omega})$ is almost negative definite for $ensuremath{omega}>m$, except for a positive $ensuremath{delta}$-functional peak at $ensuremath{omega}=m$." @default.
• W2080359232 created "2016-06-24" @default.
• W2080359232 creator A5045020127 @default.
• W2080359232 creator A5050976607 @default.
• W2080359232 creator A5068962321 @default.
• W2080359232 date "2009-12-18" @default.
• W2080359232 modified "2023-10-18" @default.
• W2080359232 title "Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function" @default.
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