Model gluon propagator and pion and rho-meson observables

Abstract

A one parameter, model confined-gluon propagator is employed in a phenomenological application of the Dyson-Schwinger and Bethe-Salpeter equations to the calculation of a range of $\pi$- and $\rho$-meson observables. Good agreement is obtained with the data. The calculated quark propagator does not have a singularity on the real-$p^2$ axis. A mass formula for the pion, involving only the vacuum, dressed quark propagator, is presented and shown to provide an accurate estimate of the mass obtained via a direct solution of the Bethe-Salpeter equation.

17 Pages, no figures, REVTEX

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Cited by in corpus (68)

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• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Hadron Physics from the Global Color Model of QCD
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Electromagnetic Pion Form Factor and Neutral Pion Decay Width
• Ground-state Spectrum of Light-quark Mesons
• Symmetry, symmetry breaking, and pion parton distributions
• Meson properties in an extended nonlocal NJL model
• Electromagnetic Form Factors of Charged and Neutral Kaons
• Continuum study of deconfinement at finite temperature
• Survey of J=0,1 mesons in a Bethe-Salpeter approach
• Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations
• Confinement Phenomenology in the Bethe-Salpeter Equation
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• Electromagnetic form factors of light vector mesons
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Exclusive diffractive processes and the quark substructure of mesons
• Critique of a Pion Exchange Model for Interquark Forces
• Multiplicative renormalizability and quark propagator
• A dynamical, confining model and hot quark stars
• Deconfinement at finite chemical potential
• Semileptonic decays of heavy mesons
• Low-energy QCD: Chiral coefficients and the quark-quark interaction
• A covariant view on the nucleons' quark core
• Meson-loop contributions to the rho-omega mass splitting & rho charge radius
• Resolving the Bethe-Salpeter kernel
• Pion Loop Contribution to Rho-Omega Mixing and Mass Splitting
• Off-shell persistence of composite pions and kaons
• Analytical properties of the quark propagator from truncated Dyson-Schwinger equation in complex Euclidean space
• A Non-perturbative Treatment of Heavy Quarks and Mesons
• Mean field exponents and small quark masses
• Pion susceptibility of the QCD vacuum from an effective quark-quark interaction
• Dependence of the Chiral Symmetry Restoration Transition on the Quark Self-Energy Kernel
• Analysis of chiral and thermal susceptibilities
• Dipole Moments of the Rho Meson
• A renormalizable extension of the NJL-model
• Where are $3P$ and higher $P-$wave states in the charmonium family?
• Heavy pseudoscalar mesons in a Schwinger-Dyson--Bethe-Salpeter approach
• Heavy-light mesons beyond ladder approximation
• Mass spectrum of pseudo-scalar glueballs from a Bethe-Salpeter approach with the rainbow-ladder truncation
• Renormalization and Chiral Symmetry Breaking in Quenched QED in Arbitrary Covariant Gauge
• Vector meson dominance and the rho meson
• High-density nuclear matter with nonlocal confining solitons
• The hadron-quark transition with a lattice of nonlocal confining solitons
• The analytic structure of heavy quark propagators
• Tensor susceptibility of the QCD vacuum from an effective quark-quark interaction
• From the Feynman-Schwinger representation to the non-perturbative relativistic bound state interaction
• On the calculation of hadron form factors from Euclidean Dyson-Schwinger equations
• Nonperturbative Aspect of Axial Vector Vertex in the Global Color Symmetry Model
• Insights into the quark-gluon vertex from lattice QCD and meson spectroscopy
• Two-flavor QCD phases and condensates at finite isospin chemical potential
• Attractive Casimir effect in an infrared modified gluon bag model
• Calculation of some properties of the vacuum
• Temperature Dependence of the Effective Bag Constant and the Radius of a Nucleon in the Global Color Symmetry Model of QCD
• Dynamical symmetry breaking, confinement with flat-bottom potential
• The Podolsky propagator in gap and bound-state equations
• Critical coupling for chiral symmetry breaking in QCD motivated models
• Extending the truncated Dyson-Schwinger equation to finite temperatures
• Off Mass Shell Effects in Hadron Electric Dipole Moments
• Pseudo-scalar {\boldm $q\bar{q}$} bound states at finite temperatures within a Dyson-Schwinger--Bethe-Salpeter approach
• The Calculation of $f_{\pi }$ and $m_{\pi }$ at Finite Chemical Potential
• Finite Quark Mass Effects in the Improved Ladder Bethe-Salpeter Amplitudes
• Mass-dependence of pseudocritical temperature in mean field approximation
• Approximation of the Schwinger--Dyson and the Bethe--Salpeter Equations and Chiral Symmetry of QCD