Reconstructing the gluon

Submission summary

 As Contributors: Nicolas Wink Arxiv Link: https://arxiv.org/abs/1804.00945v3 (pdf) Date accepted: 2018-11-29 Date submitted: 2018-11-08 01:00 Submitted by: Wink, Nicolas Submitted to: SciPost Physics Academic field: Physics Specialties: High-Energy Physics - Theory High-Energy Physics - Phenomenology Approach: Theoretical

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.

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Published as SciPost Phys. 5, 065 (2018)

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
- More details on the derivation of (20)
- Introduced $\kappa$ between (17) and (18)

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