Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in Maximally Abelian Gauge in SU(3) Lattice QCD

Abstract

In SU(3) lattice QCD formalism, we propose a method to extract gauge fields from link-variables analytically. With this method, we perform the first study on effective mass generation of off-diagonal gluons and infrared Abelian dominance in the maximally Abelian (MA) gauge in the SU(3) case. Using SU(3) lattice QCD, we investigate the propagator and the effective mass of the gluon fields in the MA gauge with U(1)$_3 \timesU(1)_8$ Landau gauge fixing. The Monte Carlo simulation is performed on $16^4$ at $\beta$=5.7, 5.8 and 6.0 at the quenched level. The off-diagonal gluons behave as massive vector bosons with the approximate effective mass $M_{\mathrm{off}}\simeq 1.1-1.2\mathrm{GeV}$ in the region of $r=0.3-0.8$fm, and the propagation is limited within a short range, while the propagation of diagonal gluons remains even in a large range. In this way, infrared Abelian dominance is shown in terms of short-range propagation of off-diagonal gluons. Furthermore, we investigate the functional form of the off-diagonal gluon propagator. The functional form is well described by the four-dimensional Euclidean Yukawa-type function $e^{-m_{\mathrm{off}}r}/r$ with $m_{\mathrm{off}}\simeq 1.3-1.4\mathrm{GeV}$ for $r=0.1-0.8$ fm. This also indicates that the spectral function of off-diagonal gluons has the negative-value region.

References in corpus (1)

• Scaling behavior and positivity violation of the gluon propagator in full QCD

Cited by in corpus (29)

• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Gluon screening mass at finite temperature from Landau gauge gluon propagator in lattice QCD
• Photophilic hadronic axion from heavy magnetic monopoles
• Gluon Propagators in Maximally Abelian Gauge in SU(3) Lattice QCD
• QCD effective potential with strong U(1)_{em} magnetic fields
• A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
• Non-Abelian dual superconductivity in SU(3) Yang-Mills theory: dual Meissner effect and type of the vacuum
• Maximal Abelian gauge and a generalized BRST transformation
• Gribov-Zwanziger action in SU(2) Maximally Abelian Gauge with U(1)${}_3$ Landau Gauge
• Lattice QCD analysis of the Polyakov loop in terms of Dirac eigenmodes
• Infra-red Abelian dominance without Abelian-projection
• Exploring dynamical gluon mass generation in three dimensions
• The Gribov-Zwanziger action in the presence of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the Landau gauge
• Clear correlation between monopoles and the chiral condensate in SU(3) QCD
• Implications of Analyticity to Mass Gap, Color Confinement and Infrared Fixed Point in Yang--Mills theory
• MOM renormalization group functions in the maximal abelian gauge
• Maximal abelian and Curci-Ferrari gauges in momentum subtraction at three loops
• Local correlation among the chiral condensate, monopoles, and color magnetic fields in Abelian projected QCD
• Lattice QCD Green's functions in maximally Abelian gauge: infrared Abelian dominance and the quark sector
• Phase structure and the gluon propagator of SU(2) gauge-Higgs model in two dimensions
• Including four-gluon interactions into Landau and maximally-Abelian gauge Dyson-Schwinger studies
• Non-perturbative Analysis of Various Mass Generation by Gluonic Dressing Effect with the Schwinger-Dyson Formalism in QCD
• Gluonic-Excitation Energies and Abelian Dominance in SU(3) QCD
• Two-dimensional gluon propagators in maximally Abelian gauge in SU(2) Lattice QCD
• Dimensional transmutation in the longitudinal sector of equivariantly gauge-fixed Yang-Mills theory
• Dimensional reduction gauge and effective dimensional reduction in the four-dimensional Yang-Mills theory
• Condensate $⟨A_{\mu }^{+}{A}_{\mu }^{-}⟩$ and massive magnetic potential in Euclidean gauge theories
• Discriminating between two reformulations of SU(3) Yang-Mills theory on a lattice
• Study of the all orders multiplicative renormalizability of a local matter confining Gribov-Zwanziger action in the MAG