Gluon Propagators in Maximally Abelian Gauge in SU(3) Lattice QCD

Abstract

In SU(3) lattice QCD, we study diagonal and off-diagonal gluon propagators in the maximally Abelian (MA) gauge with U(1)$_3 \timesU(1)_8$ Landau gauge fixing. These propagators are studied both in the coordinate space and in the momentum space. The Monte Carlo simulation is performed on $16^4$ at $\beta$=6.0 and $32^4$ at $\beta$=5.8 and 6.0 at the quenched level. In the four-dimensional Euclidean space-time, the effective mass of diagonal gluons is estimated as $M_{\mathrm{diag}}\simeq 0.3\mathrm{GeV}$ and that of off-diagonal gluons as $M_{\mathrm{off}}\simeq 1\mathrm{GeV}$ in the region of $r=0.4-1.0$fm. In the momentum space, the effective mass of diagonal gluons is estimated as $M_{\mathrm{diag}}\simeq 0.3\mathrm{GeV}$ and that of off-diagonal gluons as $M_{\mathrm{off}}\simeq 1\mathrm{GeV}$ in the region of $p<1.1$GeV. The off-diagonal gluon propagator is relatively suppressed in the infrared region and seems to be finite at zero momentum, while the diagonal gluon propagator is enhanced. Furthermore, we also study the functional form of these propagators in momentum space. These propagators are well fitted by $Z/(p^2+m^2{)}^{\nu }$ with fit parameters, $Z,m$ and $\nu$ in the region of $p<3.0$GeV. From the fit results and lattice calculations, all of the spectral functions of diagonal and off-diagonal gluons would have negative regions.

Continues and extends arXiv:1207.4377

References in corpus (8)

• Infrared Properties of QCD from Dyson-Schwinger equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
• Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in Maximally Abelian Gauge in SU(3) Lattice QCD
• Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
• Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge

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