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Studying unquenching effects in QCD with Dyson-Schwinger equations

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We summarise recent results on the properties of gluons, quarks and light mesons from the Green's functions approach to QCD. We discuss a self-consistent, infrared power law solution for the Schwinger-Dyson equations of the 1PI Greens functions of Yang-Mills theory. The corresponding running coupling has a universal fixed point at zero momentum. Based on these analytical results a truncation scheme for the coupled system of Schwinger-Dyson equations for the propagators of QCD and the Bethe-Salpeter equation for light mesons has been formulated. We compare numerical results for charge eigenstate vector and pseudoscalar meson observables with corresponding lattice data. The effects of unquenching the system are found to be small but not negligible.
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© 2006 Elsevier B.V. All rights reserved. It is a pleasure to thank the organisers of the Workshop on computational hadron physics for all their efforts which made this highly interesting conference possible. C. S. Fischer and P. Watson thank M. Pennington for inspiring discussions. The work summarised here has been supported by a grant from the Ministry of Science, Research and the Arts of Baden-W¨urttemberg (Az: 24-7532.23-19-18/1 and 24 7532.23-19-18/2), the Deutsche Forschungsgemeinschaft (DFG) under contract Fi 970/2-1, the Virtual Institute for Dense Hadronic Matter and QCD Phase Transitions and the Spanish FPA2005-02327. Workshop on Computational Hadron Physics (2005.Nicosia, Chipre)
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