Higher spin glueballs from functional methods

Abstract

We calculate the glueball spectrum for spin up to J=4 and positive charge parity in pure Yang-Mills theory. We construct the full bases for J=0,1,2,3,4 and discuss the relation to gauge invariant operators. Using a fully self-contained truncation of Dyson-Schwinger equations as input, we obtain ground states and first and second excited states from extrapolations of the eigenvalue curves. Where available, we find good quantitative agreement with lattice results.

arXiv comment14 pages, 6 figures, 1 table; v2: update to match version published in EPJC

References in corpus (52)

• The four-loop beta-function in Quantum Chromodynamics
• The glueball spectrum from an anisotropic lattice study
• Aspects of the Functional Renormalisation Group
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• A comprehensive lattice study of SU(3) glueballs
• Baryons as relativistic three-quark bound states
• On the infrared behavior of Landau gauge Yang-Mills theory
• The Physics of Glueballs
• Landau gauge Yang-Mills correlation functions
• The Status of Glueballs
• Gauge bosons at zero and finite temperature
• The Experimental Status of Glueballs
• Towards the glueball spectrum from unquenched lattice QCD
• Analytic structure of the Landau gauge gluon propagator
• Three-point vertices in Landau-gauge Yang-Mills theory
• Glueball Spectroscopy in a Relativistic Many-Body Approach to Hadron Structure
• n-Particle irreducible effective action techniques for gauge theories
• IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
• On the zero crossing of the three-gluon vertex
• The Glueball in a Chiral Linear Sigma Model with Vector Mesons
• Hadronic unquenching effects in the quark propagator
• Constructing non-perturbative gauges using correlation functions
• Infrared singularities in Landau gauge Yang-Mills theory
• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• Numerical analytic continuation of Euclidean data
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• Correlation functions of Landau gauge Yang-Mills theory
• On light baryons and their excitations
• The low lying glueball spectrum
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
• Lattice evidence for the family of decoupling solutions of Landau gauge Yang-Mills theory
• Scalar isoscalar mesons and the scalar glueball from radiative $J/\psi$ decays
• Landau gauge Yang-Mills propagators in the complex momentum plane
• Ghost spectral function from the spectral Dyson-Schwinger equation
• On mass generation in Landau-gauge Yang-Mills theory
• Techniques for n-Particle Irreducible Effective Theories
• Spin Zero Glueballs in the Bethe-Salpeter Formalism
• Pseudoscalar glueball mass: a window on three-gluon interactions
• Discrete and Global Symmetries in Particle Physics
• DoFun 3.0: Functional equations in Mathematica
• Hadronic Observables from Dyson-Schwinger and Bethe-Salpeter equations
• Glueballs as the Ithaca of meson spectroscopy
• Padé approximation and glueball mass estimates in 3d and 4d with N_c = 2,3 colors
• A note on the fate of the Landau-Yang theorem in non-Abelian gauge theories
• Exotica and the Confining Flux
• Constraining the gauge-fixed Lagrangian in minimal Landau gauge
• Mass spectrum of pseudo-scalar glueballs from a Bethe-Salpeter approach with the rainbow-ladder truncation
• The angular momentum of two massless fields revisited
• No Landau-Yang in QCD
• On the relativistic theory of force-free particles with any spin
• Angular momentum and parity of a two gluon system

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• Yang-Mills glueball masses from spectral reconstruction
• Glueballs at Physical Pion Mass
• Thermodynamics of the Glueball Resonance Gas
• The analytic structure of three-point functions from contour deformations
• Three-gluon vertex in Landau-gauge from quenched-lattice QCD in general kinematics
• Glueballs from bound state equations
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