The analytic structure of heavy quark propagators

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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21 pages Latex and 5 postscript figures. The original version of this paper has been considerably extended to include a formal

Scientific paper

10.1103/PhysRevD.57.276

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.

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