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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
Recorded sources
6 sources for · 0 against

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Is it true that Dyson-Schwinger equations accurately describe non-perturbative Green's functions in quantum field theory?

Yes. 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.

Verdict: SUPPORTED · 6 sources for, 0 against · Last checked

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.

Evidence for · 6
Growth estimates for Dyson-Schwinger equations
2008
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Yeats, K. (2008). Growth estimates for Dyson-Schwinger equations..

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More for · 5
Dyson Schwinger Equations: From Hopf algebras to Number Theory
2006
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Kreimer, D. (2006). Dyson Schwinger Equations: From Hopf algebras to Number Theory. doi.org. https://doi.org/10.1090/fic/050/10

CrasyDSE: A framework for solving Dyson–Schwinger equations
2011
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Huber, M. Q. & Mitter, M. (2011). CrasyDSE: A framework for solving Dyson–Schwinger equations. doi.org. https://doi.org/10.1016/j.cpc.2012.05.019

A non-perturbative method of calculation of Green functions
1996
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Rochev, V. E. (1996). A non-perturbative method of calculation of Green functions. doi.org. https://doi.org/10.1088/0305-4470/30/10/037

On the infrared behaviour of QCD Green functions in the Maximally Abelian gauge
2011
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Alkofer, R., Huber, M. Q., Mader, V., & Windisch, A. (2011). On the infrared behaviour of QCD Green functions in the Maximally Abelian gauge. doi.org. https://doi.org/10.22323/1.136.0003

NONPERTURBATIVE APPROACHES TO DETERMINING THE BEHAVIOR OF THE GLUON PROPAGATOR AND QUARK PROPAGATOR IN QUANTUM CHROMODYNAMICS BY SCHWINGER-DYSON EQUATIONS
1991
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HÄDICKE, A. (1991). NONPERTURBATIVE APPROACHES TO DETERMINING THE BEHAVIOR OF THE GLUON PROPAGATOR AND QUARK PROPAGATOR IN QUANTUM CHROMODYNAMICS BY SCHWINGER-DYSON EQUATIONS. doi.org. https://doi.org/10.1142/s0217751x91001611

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What does the evidence say?

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.

Receipt History
first checked04 Aug 2026
judged → SUPPORTED · 8704 Aug 2026
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