The generalised infrared structure of the gluon propagator

Abstract

Gauge theory correlators are potentially more singular in the infrared than those in non-gauge theories. We determine the implications that these singularities have on the spectrum of the theory, proving that the appearance of generalised poles implies the existence of on-shell states with fixed mass, but zero norm. For quantum chromodynamics these poles have direct relevance for the confinement of coloured states. Using lattice data for the Landau gauge gluon propagator we subsequently test for the presence of these poles, establishing that the data is indeed consistent with such a component.

arXiv comment12 pages, 2 figures; v2: additional comments and figure added, matches published version

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• The QCD phase structure at finite temperature and density
• Spectral functions of confined particles
• Landau gauge Yang-Mills propagators in the complex momentum plane
• Ghost spectral function from the spectral Dyson-Schwinger equation
• Reconstructing confined particles with complex singularities
• Complex poles and spectral functions of Landau gauge QCD and QCD-like theories
• Dynamical mass generation in Minkowski space at QCD scale
• Neural network approach to reconstructing spectral functions and complex poles of confined particles
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• Reconstructing the graviton
• Spectral Functions of Gauge Theories with Banks-Zaks Fixed Points
• Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• The analytic structure of three-point functions from contour deformations
• On the complex structure of Yang-Mills theory
• The Schwinger function, confinement and positivity violation in pure gauge QED
• Proton image and momentum distributions from light-front dynamics
• Effects of a quark chemical potential on the analytic structure of the gluon propagator
• Proton quark distributions from a light-front Faddeev-Bethe-Salpeter approach
• Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
• Split gluon masses in $SU(N)\times SU(M)$ theories
• Mean-field theory for self-interacting relativistic Luttinger fermions
• Reconstructing propagators of confined particles in the presence of complex singularities