A Non-perturbative Treatment of Heavy Quarks and Mesons

Abstract

A formalism for studying heavy quarks in terms of model Dyson-Schwinger equations is developed. The formalism is the natural extension of a technique which has proved successful in a number of studies of light hadron physics. The dressed heavy quark propagator, calculated to leading order in the inverse quark mass, is incorporated in a treatment of mesons consisting of a heavy quark and light antiquark via the ladder approximation Bethe-Salpeter equation. In the limit of infinite heavy quark mass the model is found to respect the spectrum degeneracies present in Heavy Quark Effective Theory. An exploratory numerical analysis of a simple form of the model is carried out to assess its viability for studying $D$ and $B$ mesons.

20 pages, 3 postscript figures, alterations mainly rewriting of Section VI (Numerical calculations)

References in corpus (8)

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• Heavy Mesons In A Relativistic Model
• Confinement and complex singularities in QED3
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• Model gluon propagator and pion and rho-meson observables
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Cited by in corpus (14)

• Interaction model for the gap equation
• Survey of heavy-meson observables
• Semileptonic decays of heavy mesons
• New constraints on R-parity violation from μ-e conversion in nuclei
• Tolman-Bayin type static charged fluid spheres in general relativity
• The Calculation of Vacuum Properties from the Global Color Symmetry Model
• Pion susceptibility of the QCD vacuum from an effective quark-quark interaction
• Mesons as qbar-q Bound States from Euclidean 2-Point Correlators in the Bethe-Salpeter Approach
• The analytic structure of heavy quark propagators
• Tensor susceptibility of the QCD vacuum from an effective quark-quark interaction
• Comment to: "A note on failure of the ladder approximation to QCD" [Phys. Lett. B 640 (2006) 196 ]
• The effect of the ultraviolet part of the gluon propagator on the heavy quark propagator
• Relativistic anisotropic charged fluid spheres with varying cosmological constant
• The gauge technique for heavy quarks