DYSON-SCHWINGER EQUATIONS AND THEIR APPLICATION
TO HADRONIC PHYSICS
Craig D. Roberts and Anthony G. Williams
Adelaide preprint number: ADP-93-225/T142
Abstract
We review the current status of nonperturbative studies of gauge field theory
using the Dyson-Schwinger equation formalism and its application to hadronic
physics. We begin with an introduction to the formalism and a discussion of
renormalisation in this approach. We then review the current status of
studies of Abelian gauge theories [e.g., strong coupling quantum
electrodynamics] before turning our attention to the non-Abelian gauge theory
of the strong interaction, quantum chromodynamics. We discuss confinement,
dynamical chiral symmetry breaking and the application and contribution of
these techniques to our understanding of the strong interactions.
Published in Progress in Particle and Nuclear Physics, Vol. 33,
Amand Faessler (Ed.), pp. 477-575, (Pergamon Press, Oxford, 1994).
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