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Reconstructing the gluon

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

Submission summary

As Contributors: Nicolas Wink
Arxiv Link: https://arxiv.org/abs/1804.00945v3
Date accepted: 2018-11-29
Date submitted: 2018-11-08
Submitted by: Wink, Nicolas
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: High-Energy Physics - Phenomenology

Abstract

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.

Current status:
Publication decision taken: accept

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

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