Scalar Mesons, Glueballs, Instantons and the Glueball/Sigma

Abstract

We include instanton effects in QCD sum rules for coupled scalar glueballs and mesons. We find a light glueball/sigma as in earlier studies without instantons, but in a lattice-type pure instanton model the light glueball/sigma is not found. In the 1-2 Gev region we now find that lightest I=0 meson, in the region of the f${}_o$(1370), has no direct glueball mixing, with the instanton loop replacing the glueball component. The lightest scalar mainly glueball in the region of the f${}_o$(1500) is sensitive to the choice of nonperturbative gluonic parameters.

12 pages, 4 figures

Cited by in corpus (23)

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• Mixed Heavy Quark Hybrid Mesons, Decay Puzzles, and RHIC
• Magnetic Wall From Chiral Phase Transition and CMBR Correlations
• The scalar glueball spectrum
• Light scalar mesons in QCD sum rules with inclusion of instantons
• Instanton and Higher-Loop Perturbative Contributions to the QCD Sum-Rule Analysis of Pseudoscalar Gluonium
• $0^{++}$ scalar glueball in finite-width Gaussian sum rules
• The $\Lambda$(1600): A Strange Hybrid Baryon
• The finite-width Laplace sum rules for $0^{++}$ scalar glueball in instanton liquid model
• Quasielastic rho0 electroproduction on the proton at intermediate energy: Role of scalar and pseudoscalar meson exchange
• Constraint on the light quark mass $m_q$ from QCD Sum Rules in the $I=0$ scalar channel
• Single and Double Peripheral Production of Sigmas in Proton Proton Collisions
• Abelian Decomposition and Glueball-Quarkonium Mixing in QCD
• Finite-width Gaussian sum rules for $0^{-+}$ pseudoscalar glueball based on correction from instanton-gluon interference to correlation function
• Hybrid Charmonium and the $\rho -\pi$ Puzzle
• Quark Effects in the Gluon Condensate Contribution to the Scalar Glueball Correlation Function
• Instanton Effects in QCD Sum Rules for the $0^{++}$ Hybrid
• Top Quark Mixed Hybrid Meson and the Quark-Gluon Plasma
• Instanton effects on the twist-three light-cone distribution amplitudes of pion and light scalar mesons above 1GeV
• Sigma and Pion Decays of Mixed Heavy Hybrids