Generalized linear sigma model with two glueballs
arXiv:1807.10927 · doi:10.1103/PhysRevD.98.094032
Abstract
We present a generalized linear sigma model that includes both scalar and pseudoscalar glueballs in addition to a quark-antiquark as well as a four-quark chiral nonet. Utilizing the axial and trace anomalies of QCD (at the effective mesonic level), we aim to develope the most general structure of the Lagrangian which can be used to study the interaction of quarkonia with glueballs. We then study the effect of scalar glueball on the vacuum of the model by considering a decoupling limit in which the glueball fields are decoupled from quarkonia. This determines the properties of the pure scalar glueball and builds a practical foundation for determining the model parameters when the interactions are turned on.
24 pages, version accepted for publication in Phys. Rev. D
References in corpus (18)
- The Physics of Glueballs
- The Status of Glueballs
- Identification of a Scalar Glueball
- Power corrections to alpha_s(M_τ),|V_{us}| and m_s
- Note on a sigma model connection with instanton dynamics
- Twenty-first Century Lattice Gauge Theory: Results from the QCD Lagrangian
- Scalar Glueball in Radiative Decay on Lattice
- A lattice study of the masses of singlet 0++ mesons
- Mass Uncertainties of f0(600) and f0(1370) and their Effects on Determination of the Quark and Glueball Admixtures of the I=0 Scalar Mesons
- Dynamical generation of pseudoscalar resonances
- Two chiral nonet model with massless quarks
- How the axial anomaly controls flavor mixing among mesons
- Model for light scalars in QCD
- Light scalar mesons in QCD
- Low energy scattering with a nontrivial pion
- Light scalar mesons in QCD sum rules with inclusion of instantons
- Extracting gluon condensate from the average plaquette
- Electromagnetic trace anomaly in a generalized linear sigma model