https://doi.org/10.1140/epjp/i2019-12837-1
Regular Article
Modeling the gluon and ghost propagators in Landau gauge by truncated Dyson-Schwinger equations
1
Institute of Modern Physics, Chinese Academy of Science, 509 Nanchang Road, 730000, Lanzhou, China
2
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia
3
Helmholtz-Zentrum Dresden-Rossendorf, PF 510119, 01314 and TU Dresden, 01062, Dresden, Germany
4
University of Chinese Academy of Sciences, Yuquanlu 19A, 100049, Beijing, China
* e-mail: kaptari@theor.jinr.ru
Received:
23
March
2019
Accepted:
20
June
2019
Published online:
8
August
2019
We suggest a framework based on the rainbow approximation with effective parameters adjusted to lattice data. The analytic structure 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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
