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On the complex structure of Yang-Mills theory

by Jan Horak, Jan M. Pawlowski, Nicolas Wink

Submission summary

Authors (as registered SciPost users): Jan Horak · Jan M. Pawlowski · Nicolas Wink
Submission information
Preprint Link:  (pdf)
Date submitted: 2024-06-10 12:10
Submitted by: Wink, Nicolas
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
  • High-Energy Physics - Phenomenology
Approach: Theoretical


We consider the coupled set of spectral Dyson-Schwinger equations in Yang-Mills theory for ghost and gluon propagators, which gives us access to the ghost and gluon spectral functions. The set-up is used for a systematic analytic evaluation of the constraints on generalised spectral representations in Yang-Mills theory that are most relevant for informed spectral reconstructions. We also provide numerical results for the coupled set of spectral functions for a large range of potential mass gaps of the gluon, and discuss the limitations and extensions of the present work.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

Author comments upon resubmission

In order to address the repeated criticism regarding the differentiation between Yang-Mills theory and the Curci-Ferrari model, we added another Appendix detailed the difference between the two and how we interpret our results.
We hope that this finally clarifies any potential issues a reader might have with distinguishing the two.

List of changes

- New appendix detailing the difference between YM-Theory and the Curci-Ferrari model
- Referenced the new appendix in the main text

Current status:
Refereeing in preparation

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