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Modeling the gluon and ghost propagators in Landau gauge by truncated Dyson-Schwinger equations

  • L. P. KaptariEmail author
  • B. Kämpfer
  • Pengming Zhang
Regular Article
  • 26 Downloads

Abstract.

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.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Modern PhysicsChinese Academy of ScienceLanzhouChina
  2. 2.Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchDubnaRussia
  3. 3.Helmholtz-Zentrum Dresden-Rossendorf, PF 510119, 01314 and TU DresdenDresdenGermany
  4. 4.University of Chinese Academy of SciencesBeijingChina

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