Spectrum of scalar and pseudoscalar glueballs from functional methods

Abstract

We provide results for the spectrum of scalar and pseudoscalar glueballs in pure Yang-Mills theory using a parameter-free fully self-contained truncation of Dyson-Schwinger and Bethe-Salpeter equations. The only input, the scale, is fixed by comparison with lattice calculations. We obtain ground state masses of $1.9\text{GeV}$ and $2.6\text{GeV}$ for the scalar and pseudoscalar glueballs, respectively, and $2.6\text{GeV}$ and $3.9\text{GeV}$ for the corresponding first excited states. This is in very good quantitative agreement with available lattice results. Furthermore, we predict masses for the second excited states at $3.7\text{GeV}$ and $4.3\text{GeV}$. The quality of the results hinges crucially on the self-consistency of the employed input. The masses are independent of a specific choice for the infrared behavior of the ghost propagator providing further evidence that this only reflects a nonperturbative gauge completion.

13 pages, 10 figs.; v2: extended version with a meson calculation to illustrate the extrapolation, unified scale setting in comparison, agrees with published version

References in corpus (17)

• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Baryons as relativistic three-quark bound states
• The Status of Glueballs
• Towards the glueball spectrum from unquenched lattice QCD
• Three-point vertices in Landau-gauge Yang-Mills theory
• On the zero crossing of the three-gluon vertex
• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• Correlation functions of Landau gauge Yang-Mills theory
• The QCD phase diagram: Results and challenges
• Landau gauge Yang-Mills propagators in the complex momentum plane
• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• On the analytic structure of scalar glueball operators at Born level
• Spin Zero Glueballs in the Bethe-Salpeter Formalism
• On non-primitively divergent vertices of Yang-Mills theory
• Spurious divergences in Dyson-Schwinger equations
• Mass spectrum of pseudo-scalar glueballs from a Bethe-Salpeter approach with the rainbow-ladder truncation

Cited by in corpus (33)

• 50 Years of Quantum Chromodynamics
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Locating the critical endpoint of QCD: mesonic backcoupling effects
• Gauge Sector Dynamics in QCD
• Scalar isoscalar mesons and the scalar glueball from radiative $J/\psi$ decays
• Ghost spectral function from the spectral Dyson-Schwinger equation
• On mass generation in Landau-gauge Yang-Mills theory
• Ghost dynamics in the soft gluon limit
• Exploring smoking-gun signals of the Schwinger mechanism in QCD
• Elucidating the effect of intermediate resonances in the quark interaction kernel on the time-like electromagnetic pion form factor
• Scalar mesons and the fragmented glueball
• Glueballs as the Ithaca of meson spectroscopy
• Going to the light front with contour deformations
• Yang-Mills propagators in linear covariant gauges from Nielsen identities
• Dispersive analysis of glueball masses
• Yang-Mills glueball masses from spectral reconstruction
• Semileptonic $B_c\to {\eta }_c,J/\psi$ transitions
• Theory introduction to baryon spectroscopy
• Study for a model-independent pole determination of overlapping resonances
• Gluon mass scale through the Schwinger mechanism
• Glueballs at Physical Pion Mass
• Radiative Meson and Glueball Decays in the Witten-Sakai-Sugimoto Model
• Thermodynamics of the Glueball Resonance Gas
• Glueball-glueball scattering and the glueballonium
• Ordinary and exotic mesons in the extended Linear Sigma Model
• The analytic structure of three-point functions from contour deformations
• Timelike form factor for the anomalous process ${\gamma }^{\ast }\pi \to \pi \pi$
• Dispersive analysis of excited glueball states
• Källén-Lehmann Spectral Representation of the Scalar SU(2) Glueball
• Production of Tensor Glueball in Ultraperipheral $pp$, $AuAu$ and $PbPb$ Collisions
• Glueballs from bound state equations
• The Fragmented Glueball: A Personal View
• Non-perturbative BRST symmetry and the spectral structure of the ghost propagator