# The lattice infrared Landau gauge gluon propagator: the infinite volume limit

@article{Oliveira2009TheLI,
title={The lattice infrared Landau gauge gluon propagator: the infinite volume limit},
author={Orlando Oliveira and P. J. Silva},
journal={arXiv: High Energy Physics - Lattice},
year={2009}
}
• Published 15 October 2009
• Physics, Mathematics
• arXiv: High Energy Physics - Lattice
We report on the infrared behaviour of the lattice gluon propagator. The bounds on D(0) and their behaviour with the lattice volume are investigated, together with the full propagator. Moreover, a study of the gluon propagator using different lattice spacings is carried out.

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## References

SHOWING 1-10 OF 20 REFERENCES
Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Physics
• 2008
We show that the application of a novel gauge-invariant truncation scheme to the Schwinger-Dyson equations of QCD leads, in the Landau gauge, to an infrared finite gluon propagator and a divergent
Infrared exponents of gluon and ghost propagators from Lattice QCD
• Physics
• 2007
The compatibility of the pure power law infrared solution of QCD Dyson-Schwinger equations (DSE) and lattice data for the gluon and ghost propagators in Landau gauge is discussed. For the gluon
Infrared gluon and ghost propagator exponents from lattice QCD
• Physics
• 2007
The compatibility of the pure power law infrared solution of QCD and lattice data for the gluon and ghost propagators in Landau gauge is discussed. For the gluon propagator, the lattice data are well
Constraints on the infrared behavior of the gluon propagator in Yang-Mills theories.
• Physics
Physical review letters
• 2008
A controlled extrapolation of lattice data to infinite volume is performed, showing that the infrared limit of the Landau-gauge gluon propagator in SU(2) gauge theory is finite and nonzero in three and in four space-time dimensions.
Does the lattice zero-momentum gluon propagator for pure-gauge SU(3) Yang-Mills theory vanish in the infinite-volume limit?
• Physics
• 2009
The Cucchieri-Mendes bounds for the gluon propagator are discussed for the four dimensional pure-gauge SU(3) theory. Assuming a pure power law dependence on the inverse of the lattice volume, the
Infrared properties of QCD from Dyson-Schwinger equations
I review recent results on the infrared properties of QCD from Dyson-Schwinger equations. The topics include infrared exponents of one-particle irreducible Green's functions, the fixed point
Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
• Physics
• 2007
The infrared behavior of gluon and ghost propagators in Yang-Mills theories is of central importance for understanding quark and gluon confinement in QCD. While simulations of pure SU(3) gauge theory
The Universal Renormalization Factors Z_1/Z_3 and Color Confinement Condition in Non-Abelian Gauge Theory
The ratio Z_1/Z_3 of vertex and wave-function renormalization factors, which is universal (i.e., matter-independent), is shown to equal 1+u which gives the residue of the scalar pole \$\propto p_\mu
Quark confinement: the hard problem of hadron physics
• Physics
• 2007
We give a brief overview of the problem of quark confinement in hadronic physics and outline a few of the suggested explanations of the confining force.