Dyson-Schwinger Equations and the Application to Hadronic Physics

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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110 pages, LaTeX. Replaced only to facilitate retrieval. Also available at /u/ftp/pub/Review.uu via anonymnous-ftp

Scientific paper

10.1016/0146-6410(94)90049-3

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.

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