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Dynamical mass generation in Landau gauge QCD

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2005

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Elsevier Science BV
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We summarise results on the infrared behaviour of Landau gauge QCD from the Green's functions approach and lattice calculations. Approximate, nonperturbative solutions for the ghost, gluon and quark propagators as well as first results for the quark-gluon vertex from a coupled set of Dyson-Schwinger equations are compared to quenched and unquenched lattice results. Almost quantitative agreement is found for all three propagators. Similar effects of unquenching are found in both approaches. The dynamically generated quark masses are close to 'phenomenological' values. First results for the quark-gluon vertex indicate a complex tenser structure of the non-perturbative quark gluon interaction.

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© 2004 Elsevier B.V. All rights reserved. We are grateful to M. Bhagwat, H. Gies, C. Roberts, J. Skullerud, P. Tandy, A. Williams, and D. Zwanziger for helpful discussions. This work has been supported by the Deutsche Forschungsgemeinschaft (DFG) under contracts Al 279/3-3, Al 279/3-4, Fi 970/2-1 and GRK683. F.L. thanks the German DAAD and Univ. Complutense for support and the members of the Institute for Theoretical Physics of the University of T¨ubingen for their hospitality during his visit, when the project reported in section 4 has been started. We thank A. Kizilers¨u, A. Thomas and A. Williams for the organisation of this exceptional conference QCD DOWN UNDER. Workshop on Quantum Chromodynamics (2004. Adelaide, Australia)

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