%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 }