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On the complex structure of Yang-Mills theory

by Jan Horak, Jan M. Pawlowski, Nicolas Wink

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Submission summary

Authors (as registered SciPost users): Jan Horak · Jan M. Pawlowski · Nicolas Wink
Submission information
Preprint Link: https://arxiv.org/abs/2202.09333v4  (pdf)
Date accepted: Sept. 13, 2024
Date submitted: June 10, 2024, 12:10 p.m.
Submitted by: Nicolas Wink
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
  • High-Energy Physics - Phenomenology
Approach: Theoretical

Abstract

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:
Published

Editorial decision: For Journal SciPost Physics Core: Publish
(status: Editorial decision fixed and (if required) accepted by authors)

Reports on this Submission

Report #2 by Anonymous (Referee 2) on 2024-9-2 (Invited Report)

Report

I am satisfied with the changes made in the draft and therefore recommend publication.

Recommendation

Publish (surpasses expectations and criteria for this Journal; among top 10%)

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Report #1 by Anonymous (Referee 1) on 2024-8-2 (Invited Report)

Report

It is a pity that the authors did not make any real change in the last revision: they just added an other Appendix where they basically admit that they are using CF model as an approximation for YM theory. It is a relevant point which should be discussed from the beginning. Rather, it seems that they are hiding the discussion within an other appendix (and there are too many! It was suggested to reduce their number!)

Since the author refuse to meet the requirements of the referees, I must suggest that the paper is not published.

Recommendation

Reject

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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