# Reconstructing the gluon

### 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:

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
- Introduced $\kappa$ between (17) and (18)