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Reconstructing the gluon

by Anton K. Cyrol, Jan M. Pawlowski, Alexander Rothkopf, Nicolas Wink

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Jan M. Pawlowski · Nicolas Wink
Submission information
Preprint Link:  (pdf)
Date accepted: 2018-11-29
Date submitted: 2018-11-08 01:00
Submitted by: Wink, Nicolas
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
  • High-Energy Physics - Phenomenology
Approach: Theoretical


We reconstruct the gluon spectral function in Landau gauge QCD from numerical data for the gluon propagator. The reconstruction relies on two novel ingredients: Firstly we derive analytically the low frequency asymptotics of the spectral function. Secondly we construct a functional basis from a careful consideration of the analytic properties of the gluon propagator in Landau gauge. This allows us to reliably capture the non-perturbative regime of the gluon spectrum. We also compare different reconstruction methods and discuss the respective systematic errors.

Author comments upon resubmission

We have included several suggestions from the first two referee reports.

List of changes

Main changes:
- Extended the reasoning behind the error band in Fig. 6
- Added a note about the consequences of positivity violation
- More details on the derivation of (20)
- Introduced $\kappa$ between (17) and (18)

Other changes:
- Corrected several typos
- Different hyperlink styling for appendices

Published as SciPost Phys. 5, 065 (2018)

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