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Infrared Properties of QCD from Dyson-Schwinger equations

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arxiv hep-ph/0605173 v2 pith:HU7G4APJ submitted 2006-05-15 hep-ph hep-lathep-th

Christian S. Fischer This is my paper · ORCID
classification hep-phhep-lathep-th
keywords infraredpropertiesdyson-schwingerequationsbehaviourcouplingdynamicalexponents
verification ladder T0 review T1 audit T2 compute T3 formal

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I review recent results on the infrared properties of QCD from Dyson-Schwinger equations. The topics include infrared exponents of one-particle irreducible Green's functions, the fixed point behaviour of the running coupling at zero momentum, the pattern of dynamical quark mass generation and properties of light mesons.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 502 citations worldwide. Full citation record

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  2. FunKit: A computer algebra toolkit for functional approaches

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    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.

  3. Insight on confinement from the QCD effective charge

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    Assigning the imaginary poles of α_g1 to parton propagators produces long-distance damping e^{-Λ_s|x|/√2}|x|^{-5/2+d_a}, interpreting confinement as Green's-function suppression.

  4. DoFun 3.0: Functional equations in Mathematica

    hep-ph 2019-08 accept novelty 4.0 of 10

    DoFun 3.0 extends the Mathematica package DoFun with automatic derivation of correlation functions of composite operators, plus workflow tools and a public GitHub repository.

  5. Gluon mass scale through the Schwinger mechanism

    hep-ph 2025-01 conditional novelty 2.0 of 10

    A comprehensive review showing how massless composite poles in QCD vertices can generate the gluon mass scale, with a BSE-based computation reaching m=367 MeV against the 354 MeV lattice value.

  6. A beginner's guide to functional methods in particle physics

    hep-ph 2025-10 accept novelty 1.0 of 10

    A pedagogical review showing how Dyson-Schwinger, 3PI, and Bethe-Salpeter equations can be chained together to compute glueball masses in pure Yang-Mills theory, matching lattice QCD.

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