Mass spectrum of pseudo-scalar glueballs from a Bethe-Salpeter approach with the rainbow-ladder truncation
arXiv:2004.06523 · doi:10.1007/s00601-020-01562-4
Abstract
We suggest a framework based on the rainbow approximation to the Dyson-Schwinger and Bethe-Salpeter equations with effective parameters adjusted to lattice QCD data to calculate the masses of the ground and excited states of pseudo-scalar glueballs. The structure of the truncated Bethe-Salpeter equation with the gluon and ghost propagators as solutions of the truncated Dyson-Schwinger equations is analysed in Landau gauge. Both, the Bete-Salpeter and Dyson-Schwinger equations, are solved numerically within the same rainbow-ladder truncation with the same effective parameters which ensure consistency of the approach. We found that with a set of parameters, which provides a good description of the lattice data within the Dyson-Schwinger approach, the solutions of the Bethe Salpeter equation for the pseudo-scalar glueballs exhibit a rich mass spectrum which also includes the ground and excited states predicted by lattice calculations. The obtained mass spectrum contains also several intermediate excitations beyond the lattice approaches. The partial Bethe-Salpeter amplitudes of the pseudo-scalar glueballs are presented as well.
arXiv comment20 pages, 6 figures. arXiv admin note: text overlap with arXiv:1811.01479
References in corpus (44)
- The glueball spectrum from an anisotropic lattice study
- Glueball Spectrum and Matrix Elements on Anisotropic Lattices
- Dyson-Schwinger equations: a tool for hadron physics
- pi- and K-meson Bethe-Salpeter Amplitudes
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- Infrared Properties of QCD from Dyson-Schwinger equations
- On the infrared behavior of Landau gauge Yang-Mills theory
- The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
- A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
- The Status of Glueballs
- The Infrared Behaviour of the Pure Yang-Mills Green Functions
- Confinement and complex singularities in QED3
- Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
- Analytic structure of the Landau gauge gluon propagator
- Scaling behavior and positivity violation of the gluon propagator in full QCD
- The Elusiveness of Infrared Critical Exponents in Landau Gauge Yang--Mills Theories
- Mesons in a Poincare Covariant Bethe-Salpeter Approach
- Probing Unquenching Effects in the Gluon Polarisation in Light Mesons
- SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
- Running Coupling in Non-Perturbative QCD - I. Bare Vertices and y-max Approximation
- Future Prospects for Hadron Physics at PANDA
- Model gluon propagator and pion and rho-meson observables
- Lattice evidence for the family of decoupling solutions of Landau gauge Yang-Mills theory
- Pseudoscalar glueball mass: a window on three-gluon interactions
- Analytical properties of the quark propagator from truncated Dyson-Schwinger equation in complex Euclidean space
- Spin Zero Glueballs in the Bethe-Salpeter Formalism
- Accounting for the analytical properties of the quark propagator from Dyson-Schwinger equation
- Two-Fermion Bound States within the Bethe-Salpeter Approach
- Infrared Behaviour of the Gluon Propagator: Confining or Confined?
- Pseudoscalar Glueball Mass: QCD vs. Lattice Gauge Theory Prediction
- Two-gluon and trigluon glueballs from dynamical holography QCD
- Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD
- Exotic glueball states in QCD Sum Rules
- Heavy pseudoscalar mesons in a Schwinger-Dyson--Bethe-Salpeter approach
- Constituent gluon interpretation of glueballs and gluelumps
- Holographic QCD predictions for production and decay of pseudoscalar glueballs
- Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
- Is the exotic glueball a pure gluon state ?
- Comment on "Finding the Glueball" [arXiv:1408.3995]
- Solving the Gluon Dyson-Schwinger Equation in the Mandelstam Approximation
- Solving the Bethe-Salpeter Equation in Euclidean Space
- Search for the Glueball in and decays
- Mixing among lowest-lying scalar mesons and scalar glueball
- Bound states of relativistic nature
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- Impressions of the Continuum Bound State Problem in QCD
- Spectrum of scalar and pseudoscalar glueballs from functional methods
- Higher spin glueballs from functional methods
- Glueballs as the Ithaca of meson spectroscopy
- Bethe-Salpeter kernel and properties of strange-quark mesons
- Dispersive analysis of glueball masses
- Yang-Mills glueball masses from spectral reconstruction
- Dispersive analysis of excited glueball states
- Nonlocal gluon condensates in QCD sum rules
- Glueballs from bound state equations
- Quenched glueball spectrum from functional equations