Landau gauge Yang-Mills propagators in the complex momentum plane
C. Fischer, and M. Huber. (2020)cite arxiv:2007.11505Comment: 15 pages, 12 figures.
Abstract
We calculate the dressed gluon and ghost propagators of Landau gauge
Yang-Mills theory in the complex momentum plane from their Dyson-Schwinger
equations. To this end, we develop techniques for a direct calculation such
that no mathematically ill-posed inverse problem needs to be solved. We provide
a detailed account of the employed ray technique and discuss a range of tools
to monitor the stability of the numerical calculation. Within a truncation
employing model ansaetze for the three-point vertices and neglecting effects
due to four-point functions, we find a singularity in the gluon propagator in
the second quadrant of the complex $p^2$-plane. Although the location of this
singularity turns out to be strongly dependent on the model for the three-gluon
vertex, it occurs always at complex momenta for the range of models considered.
Description
Landau gauge Yang-Mills propagators in the complex momentum plane
%0 Generic
%1 fischer2020landau
%A Fischer, Christian S.
%A Huber, Markus Q.
%D 2020
%K spectral
%T Landau gauge Yang-Mills propagators in the complex momentum plane
%U http://arxiv.org/abs/2007.11505
%X We calculate the dressed gluon and ghost propagators of Landau gauge
Yang-Mills theory in the complex momentum plane from their Dyson-Schwinger
equations. To this end, we develop techniques for a direct calculation such
that no mathematically ill-posed inverse problem needs to be solved. We provide
a detailed account of the employed ray technique and discuss a range of tools
to monitor the stability of the numerical calculation. Within a truncation
employing model ansaetze for the three-point vertices and neglecting effects
due to four-point functions, we find a singularity in the gluon propagator in
the second quadrant of the complex $p^2$-plane. Although the location of this
singularity turns out to be strongly dependent on the model for the three-gluon
vertex, it occurs always at complex momenta for the range of models considered.
@misc{fischer2020landau,
abstract = {We calculate the dressed gluon and ghost propagators of Landau gauge
Yang-Mills theory in the complex momentum plane from their Dyson-Schwinger
equations. To this end, we develop techniques for a direct calculation such
that no mathematically ill-posed inverse problem needs to be solved. We provide
a detailed account of the employed ray technique and discuss a range of tools
to monitor the stability of the numerical calculation. Within a truncation
employing model ansaetze for the three-point vertices and neglecting effects
due to four-point functions, we find a singularity in the gluon propagator in
the second quadrant of the complex $p^2$-plane. Although the location of this
singularity turns out to be strongly dependent on the model for the three-gluon
vertex, it occurs always at complex momenta for the range of models considered.},
added-at = {2020-07-23T10:24:35.000+0200},
author = {Fischer, Christian S. and Huber, Markus Q.},
biburl = {https://www.bibsonomy.org/bibtex/2f707e0a41f06c5094831299ad2ffdd71/cmcneile},
description = {Landau gauge Yang-Mills propagators in the complex momentum plane},
interhash = {a0edbf5ad048c5b8316b40643c590d57},
intrahash = {f707e0a41f06c5094831299ad2ffdd71},
keywords = {spectral},
note = {cite arxiv:2007.11505Comment: 15 pages, 12 figures},
timestamp = {2020-07-23T10:24:35.000+0200},
title = {Landau gauge Yang-Mills propagators in the complex momentum plane},
url = {http://arxiv.org/abs/2007.11505},
year = 2020
}