---
abstract: 'The renormalised quark Dyson-Schwinger equation is studied in the limit of the renormalised current heavy quark mass $m_R\rightarrow \infty$. 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.'
address: ' Department of Theoretical Physics, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia\'
author:
- 'C. J. Burden'
title: The analytic structure of heavy quark propagators
---

Introduction
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The solution of approximate Dyson-Schwinger equations (DSE) has proved to be an effective means for modelling quark propagators in hadronic physics [@RW94]. Recent calculations within the genre of models which we shall refer to as the DSE technique include those of the light hadron spectrum [@BSpapers; @JM93] and of electromagnetic form factors of the pion and kaon [@R96]. Although no rigorous proof exists, it is the philosophy of the DSE technique that one possible signal of confinement in QCD should be the absence of timelike 