Tübingen 2003 – wissenschaftliches Programm

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HK: Physik der Hadronen und Kerne

HK 19: Theorie II

HK 19.7: Vortrag

Dienstag, 18. März 2003, 17:45–18:00, D

Dynamical mass generation in Landau gauge QCD — •Christian S. Fischer¹, Reinhard Alkofer¹, Hugo Reinhardt¹, and Lorenz von Smekal² — ¹Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen — ²Institut für Theoretische Physik III, Universität Erlangen, Staudtstr. 7, 91058 Erlangen

We present approximate solutions to the coupled system of Dyson-Schwinger equations for the ghost, gluon and quark propagator in Landau gauge QCD. We employ ansätze for the vertices such that both the running coupling and the quark mass function are independent of the renormalisation point. Furthermore we obtain the correct anomalous dimensions for all propagators. We find an infrared weakly vanishing gluon propagator and an infrared singular ghost propagator [1,2,3]. This is in accordance with the Kugo-Ojima confinement criterion as well as Zwanziger’s horizon condition. The running coupling has an infrared fixed point at α(0) = 8.92/N_c [1]. The dynamically generated quark masses agree well with phenomenological values. Our solutions for the propagators are in good agreement with the results of recent lattice calculations

[1] Ch. Lerche and L. von Smekal, Phys. Rev. D 65 125006 (2002)

[2] C. S. Fischer, R. Alkofer and H. Reinhardt, Phys. Rev. D 65, 094008 (2002)

[3] C. S. Fischer, R. Alkofer, Phys. Lett. B536, 177 (2002) Supported by DFG (Al 279/3-3, Al 279/3-4, Re 856-4/1, SM 70/1-1 and GRK683).