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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 | |
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| Preprint 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 |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
Author comments upon resubmission
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)