Modeling the gluon and ghost propagators in Landau gauge by truncated Dyson-Schwinger equations
| Autor: | B. Kämpfer, L. P. Kaptari, Pengming Zhang |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Quantum chromodynamics
Physics 010308 nuclear & particles physics Euclidean space High Energy Physics::Lattice Nuclear Theory High Energy Physics::Phenomenology General Physics and Astronomy Propagator Rainbow 01 natural sciences Gluon Lattice (order) 0103 physical sciences Bound state Gravitational singularity 010306 general physics Mathematical physics |
| Zdroj: | The European Physical Journal Plus. 134 |
| ISSN: | 2190-5444 |
| DOI: | 10.1140/epjp/i2019-12837-1 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink