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.
Cited by 3
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flavor low energy effective model
Phys. Rev. D 99, 094019 (2019) [Crossref]
Reinhard Alkofer et al., Bound state properties from the functional renormalization group
Phys. Rev. D 99, 054029 (2019) [Crossref]
Yui Hayashi et al., Complex poles and spectral function of Yang-Mills theory
Phys. Rev. D 99, 074001 (2019) [Crossref]
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- 1 Anton K. Cyrol,
- 1 2 Jan M. Pawlowski,
- 1 3 Alexander Rothkopf,
- 1 Nicolas Wink
- 1 Ruprecht-Karls-Universität Heidelberg / Heidelberg University
- 2 ExtreMe Matter Institute [EMMI]
- 3 Universitetet i Stavanger / University of Stavanger [UiS]