The analytic structure of heavy quark propagators

Abstract

The renormalised quark Dyson-Schwinger equation is studied in the limit of the renormalised current heavy quark mass m_R --> infinity. We are particularly interested in the analytic pole structure of the heavy quark propagator in the complex momentum plane. Approximations in which the quark-gluon vertex is modelled by either the bare vertex or the Ball-Chiu Ansatz, and the Landau gauge gluon propagator takes either a gaussian form or a gaussian form with an ultraviolet asymptotic tail are used.

21 pages Latex and 5 postscript figures. The original version of this paper has been considerably extended to include a formalism dealing with the renormalised heavy quark Dyson-Schwinger equation and uses a more realistic Ansatz for the gluon propagator.

References in corpus (2)

• pi- and K-meson Bethe-Salpeter Amplitudes
• The gauge technique for heavy quarks

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• Finite volume effects in a quenched lattice-QCD quark propagator
• Heavy- to light-meson transition form factors
• Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles
• Application of Jain and Munczek's bound-state approach to gamma gamma-processes of pi0, eta_c and eta_b
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• The effect of the ultraviolet part of the gluon propagator on the heavy quark propagator
• Quark sector of Coulomb gauge Quantum Chromodynamics