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Dyson-Schwinger Equations and the Application to Hadronic Physics

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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.

fields

hep-ph 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

FunKit: A computer algebra toolkit for functional approaches

hep-ph · 2026-05-27 · unverdicted · novelty 6.0

FunKit is a computer algebra toolkit that automates derivation of functional equations such as Dyson-Schwinger and functional RG from arbitrary master equations, with tracing via FORM and export to numerical code.

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  • FunKit: A computer algebra toolkit for functional approaches hep-ph · 2026-05-27 · unverdicted · none · ref 3 · internal anchor

    FunKit is a computer algebra toolkit that automates derivation of functional equations such as Dyson-Schwinger and functional RG from arbitrary master equations, with tracing via FORM and export to numerical code.