Dyson-Schwinger equation constraints on the gluon propagator in BRST quantised QCD

Abstract

The gluon propagator plays a central role in determining the dynamics of QCD. In this work we demonstrate for BRST quantised QCD that the Dyson-Schwinger equation imposes significant analytic constraints on the structure of this propagator. In particular, we find that these constraints control the appearance of massless components in the gluon spectral density.

8 pages; v2: matches published version

References in corpus (5)

• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Quark Confinement: The Hard Problem of Hadron Physics
• The non-perturbative structure of the photon and gluon propagators
• Conditions on the violation of the cluster decomposition property in QCD
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Cited by in corpus (13)

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• Landau gauge Yang-Mills propagators in the complex momentum plane
• The generalised infrared structure of the gluon propagator
• Reconstructing confined particles with complex singularities
• Spectral dimension as a tool for analyzing non-perturbative propagators
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• On the complex structure of Yang-Mills theory
• The analytic structure of three-point functions from contour deformations
• Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach
• Duality as a Method to Derive a Gauge Invariant Massive Electrodynamics and New Interactions
• Reconstructing propagators of confined particles in the presence of complex singularities
• Non-perturbative BRST symmetry and the spectral structure of the ghost propagator