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the claim
Dyson-Schwinger equations accurately describe non-perturbative Green's functions in quantum field theory.
the verdict
SUPPORTED
the evidence backs this
refutedsupported
the weight of evidence
6 sources for · 0 against

The provided literature consistently supports the use of Dyson-Schwinger equations as valuable tools for describing non-perturbative Green's functions and phenomena in quantum field theory.

Evidence for · 6
Growth estimates for Dyson-Schwinger equations
2008 · cited by 77
Paper [2] notes that Dyson-Schwinger equations contain non-perturbative information and describe Green's functions in quantum field theory.
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The analysis

Every paper in the retrieved set that directly addresses the topic concurs that Dyson-Schwinger (or Schwinger-Dyson) equations provide a formal framework for analyzing non-perturbative Green's functions in quantum field theories. There are no papers refuting this claim.

More for · 5
Dyson Schwinger Equations: From Hopf algebras to Number Theory
2006 · cited by 45
Paper [3] derives non-perturbative results for renormalized Green functions using the Hopf algebra structure underlying quantum field theories.
CrasyDSE: A framework for solving Dyson–Schwinger equations
2011 · cited by 33
Paper [5] highlights Dyson-Schwinger equations as important tools for non-perturbative analyses of quantum field theories and Green's functions.
A non-perturbative method of calculation of Green functions
1996 · cited by 11
Paper [7] proposes a method based on the Schwinger-Dyson equation for the non-perturbative calculation of Green functions in quantum field theory.
On the infrared behaviour of QCD Green functions in the Maximally Abelian gauge
2011 · cited by 10
Paper [9] states that Dyson-Schwinger equations contribute to a better understanding of non-perturbative phenomena in terms of underlying Green functions.
NONPERTURBATIVE APPROACHES TO DETERMINING THE BEHAVIOR OF THE GLUON PROPAGATOR AND QUARK PROPAGATOR IN QUANTUM CHROMODYNAMICS BY SCHWINGER-DYSON EQUATIONS
1991 · cited by 10
Paper [10] reviews non-perturbative approaches using Schwinger-Dyson equations to determine the behavior of propagators and Green's functions in quantum chromodynamics.
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first checked04 Aug 2026
judged → SUPPORTED · 8704 Aug 2026
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