Speaker
Prof.
Leonid Kaptari
(Bogoliubov Lab.Theor. Phys., 141980, JINR, Dubna, Russia)
Description
We suggest a framework based on the rainbow approximation with effective parameters adjusted to lattice data. The analyticstructure of the gluon and ghost propagators of QCD in Landau gauge is analyzed by means of numerical solutions of the coupled system of truncated Dyson-Schwinger equations. We find that the gluon and ghost dressing functions are singular in complex Euclidean space with singularities as isolated pairwise conjugated poles. These poles hamper solving numerically the Bethe-Salpeter equation for glueballs as bound states of two interacting dressed gluons. Nevertheless, we argue that, by knowing the position of the poles and their residues, a reliable algorithm for numerical solving the Bethe-Salpeter equation can be established.
Primary author
Prof.
Leonid Kaptari
(Bogoliubov Lab.Theor. Phys., 141980, JINR, Dubna, Russia)
Co-authors
Prof.
Burkhard Kaempfer
(Helmholtz-Zentrum Dresden-Rossendorf, PF 510119, 01314 Dresden, Germany)
Prof.
Pengming Zhang
(Institute of Modern Physics, Chinese Academy of Science, 509 Nanchang Road, 730000, Lanzhou, China)
