The analytic structure of heavy quark propagators
C. J. Burden
Abstract
The renormalised quark Dyson-Schwinger equation is studied in the limit of the renormalised current heavy quark mass mR --> 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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