Dyson-Schwinger equations and their application to hadronic physics

  title={Dyson-Schwinger equations and their application to hadronic physics},
  author={Craig D. Roberts and A. G. Williams},
  journal={Progress in Particle and Nuclear Physics},
Dyson-schwinger Equations in Nonperturbative Field Theory
The Dyson-Schwingerequation formalism is reviewed and its applicationto nonperturba-tive studies of gauge eld theories is dicussed. As a speciic illustration of the derivation and techniques we
Confinement studies in QCD with Dyson-Schwinger equations
  • M. Frasca
  • Physics
    Nuclear and Particle Physics Proceedings
  • 2021
Dyson-Schwinger equation approach to Lorentz symmetry breaking with finite temperature and chemical potential
In this work, we investigate the dynamical breakdown of Lorentz symmetry in 4 dimensions by the condensation of a fermionic field described by a Dirac lagrangean with a four-fermion interaction.
Light cone representation of the quark Schwinger-Dyson equation
We use a light-cone approach to solve the Schwinger-Dyson equation for the quark propagator in Minkowski space. We show how this method can be used to solve the equation beyond the spacelike region,
Dyson–Schwinger Equations: A Tool for Hadron Physics
Dyson–Schwinger equations furnish a Poincare covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables
Dyson-Schwinger approach to strongly coupled theories
Although nonperturbative functional methods are often associated with low energy Quantum Chromodynamics, contemporary studies indicate that they provide reliable tools to characterize a much wider
Differential Dyson–Schwinger equations for quantum chromodynamics
Using a technique devised by Bender, Milton and Savage, we derive the Dyson–Schwinger equations for quantum chromodynamics in differential form. We stop our analysis to the two-point functions. The
Hadron Physics and the Dyson-Schwinger Equations of QCD
We use the Bethe‐Salpeter equation in rainbow‐ladder truncation to calculate the ground state mesons from the chiral limit to bottomonium, with an effective interaction that was previously fitted to


Nonperturbative study of the fermion propagator in quenched QED in covariant gauges using a renormalizable truncation of the Schwinger-Dyson equation.
The Schwinger-Dyson equation for the fermion propagator in quenched four-dimensional QED is solved using a nonperturbative ansatz for the fermion-photon vertex that satisfies the Ward-Takahashi
Masses from nothing. A non-perturbative study of QED3
Vacuum polarization and dynamical chiral symmetry breaking in quantum electrodynamics
The Schwinger-Dyson equation for the fermion mass function taking into account the vacuum polarization effects is considered. It is shown that even in the “zero-charge” situation there exists, at
Infrared Singularities and Massive Fields
We examine some problems associated with the low-momentum behavior of gauge theories and other renormalizable field theories. Our main interest is in the infrared structure of unbroken non-Abelian
A nonperturbative study of three dimensional quantum electrodynamics with N flavours of fermion
This work is concerned with the breaking of chiral symmetry in gauge theories and the associated generation of a dynamical mass scale. We investigate this phenomenon in the context of a simple model,
A gauge covariant approximation to quantum electrodynamics
A non-perturbative method of solving the Dyson-Schwinger equations in QED, which preserves the gauge identities, is considered. The starting point is determined by an integral equation for the
In this paper we study the analytic continuation of the Dyson-Schwinger equation into the entire complex p2 plane. It is shown that in the usual ladder approximation with a running coupling, there