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.
Cite
@article{arxiv.hep-ph/9702411,
title = {The analytic structure of heavy quark propagators},
author = {C. J. Burden},
journal= {arXiv preprint arXiv:hep-ph/9702411},
year = {2009}
}
Comments
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.