Universal scale factors relating mesonic fields and quark operators

Abstract

Scale factor matrices relating mesonic fields in chiral Lagrangians and quark-level operators of QCD sum-rules are shown to be constrained by chiral symmetry, resulting in universal scale factors for each chiral nonet. Built upon this interplay between chiral Lagrangians and QCD sum-rules, the scale factors relating the $a_0$ isotriplet scalar mesons to their underlying quark composite field were recently determined. It is shown that the same technique when applied to $K_0^{\ast }$ isodoublet scalars reproduces the same scale factors, confirming the universality property and further validating this connection between chiral Lagrangians and QCD sum-rules which can have nontrivial impacts on our understanding of the low-energy QCD, in general, and the physics of scalar mesons in particular.

arXiv comment5 pages, 1 figure. arXiv admin note: text overlap with arXiv:1909.07243

References in corpus (20)

• Instantons in QCD
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• S-wave Kpi scattering in chiral perturbation theory with resonances
• Gluon Condensates and m_b(m_b) from QCD-Exponential Moments at Higher Orders
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Scalar Particles in Lattice QCD
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
• Note on a sigma model connection with instanton dynamics
• Final State Interactions in Hadronic D decays
• The Mixing Angle of the Lightest Scalar Nonet
• Scalar meson in dynamical and partially quenched two-flavor QCD: lattice results and chiral loops
• An Effective Lagrangian with Broken Scale and Chiral Symmetry II: Pion Phenomenology
• Mass and Decay Constant of $I=1/2$ Scalar Meson In QCD Sum Rule
• A Gaussian Sum-Rules Analysis of Scalar Glueballs
• Gaussian Sum-Rules and Prediction of Resonance Properties
• Light scalar mesons in QCD sum rules with inclusion of instantons
• Chiral Nonet Mixing in $\pi K$ Scattering
• Connections between chiral Lagrangians and QCD sum-rules

Cited by in corpus (1)

• Strengthening the Bridge Between Chiral Lagrangians and QCD Sum-Rules