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

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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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Authors and Affiliations

  1. Institute of Modern Physics, Chinese Academy of Science, 509 Nanchang Road, 730000, Lanzhou, China

    L. P. Kaptari & Pengming Zhang

  2. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia

    L. P. Kaptari

  3. Helmholtz-Zentrum Dresden-Rossendorf, PF 510119, 01314 and TU Dresden, 01062, Dresden, Germany

    B. Kämpfer

  4. University of Chinese Academy of Sciences, Yuquanlu 19A, 100049, Beijing, China

    Pengming Zhang

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  1. L. P. Kaptari
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Correspondence to L. P. Kaptari.

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Kaptari, L.P., Kämpfer, B. & Zhang, P. Modeling the gluon and ghost propagators in Landau gauge by truncated Dyson-Schwinger equations. Eur. Phys. J. Plus 134, 383 (2019). https://doi.org/10.1140/epjp/i2019-12837-1

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