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Studying mass generation for gluons

by Gernot Eichmann, Jan M. Pawlowski

This Submission thread is now published as SciPost Phys. Proc. 6, 018 (2022)

Submission summary

As Contributors: Gernot Eichmann
Arxiv Link: (pdf)
Date accepted: 2022-04-13
Date submitted: 2022-02-01 17:03
Submitted by: Eichmann, Gernot
Submitted to: SciPost Physics Proceedings
Proceedings issue: XXXIII International Workshop on High Energy Physics (Hard Problems of Hadron Physics: Non-Perturbative QCD & Related Quests)
Academic field: Physics
  • High-Energy Physics - Theory
  • High-Energy Physics - Phenomenology
Approaches: Theoretical, Computational


In covariant gauges, the gluonic mass gap in Yang-Mills theory manifests itself in the basic observation that the massless pole in the perturbative gluon propagator disappears in nonperturbative calculations, but the origin of this behavior is not yet fully understood. We summarize a recent study of the respective dynamics with Dyson-Schwinger equations in Landau-gauge Yang-Mills theory. We identify the parameter that distinguishes the massive Yang-Mills regime from the massless decoupling solutions, whose endpoint is the scaling solution. Similar to the PT-BFM scheme, we find evidence that mass generation in the transverse sector is triggered by longitudinal massless poles.

Published as SciPost Phys. Proc. 6, 018 (2022)

Submission & Refereeing History

Published as SciPost Phys. Proc. 6, 018 (2022)

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Submission 2112.08058v1 on 1 February 2022

Reports on this Submission

Anonymous Report 1 on 2022-3-29 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:2112.08058v1, delivered 2022-03-29, doi: 10.21468/SciPost.Report.4812


The infrared behavior of the gluon and ghost propagators in covariant gauges is studied in the Dyson-Schwinger approach. Proper attention is given to the contributions to the gluon propagator caused by quadratic divergences and by longitudinal massless singularities coming from the vertex functions; these contributions are combined so that the tensor structure of the gluon polarization operator agrees with gauge invariance.
Two parameters associated with these contributions make it possible to discriminate between widely discussed scaling and decoupling solutions of the Dyson-Schwinger equations. Possible independence of all physical (gauge-invariant) quantities on the deep-infrared behavior of the gluon propagator advocated by the authors may be associated with nonphysical nature of these parameters giving a hope that the Schwinger-Dyson approach in QCD can give rise to a computation of physical observables from first principles involving no additional parameters.

Requested changes

In caption to Fig.2 difference between blue, green, empty and orange circles
should be indicated.

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