期刊
EUROPEAN PHYSICAL JOURNAL A
卷 51, 期 5, 页码 -出版社
SPRINGER
DOI: 10.1140/epja/i2015-15057-4
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资金
- Helmholtz International Center for FAIR within LOEWE program of the State of Hesse
- BMBF [06GI7121]
- Austrian Science Fund (FWF) [M1333-N16]
We present a practical method for the solution of the quark-gluon vertex for use in Bethe-Salpeter and Dyson-Schwinger calculations. The efficient decomposition into the necessary covariants is detailed, with the numerical algorithm outlined for both real and complex Euclidean momenta. A truncation of the quark-gluon vertex, that neglects explicit back-coupling to enable the application to bound-state calculations, is given together with results for the quark propagator and quark-gluon vertex for different quark flavours. The relative impact of the various components of the quark-gluon vertex is highlighted with the flavour dependence of the effective quark-gluon interaction obtained, thus providing insight for the construction of phenomenological models within the rainbow ladder. Finally, we solve the corresponding Green's functions for complex Euclidean momenta as required in future bound-state calculations.
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