Freiburg 2008 – scientific programme
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T: Fachverband Teilchenphysik
T 22: Quantenfeldtheorie II
T 22.10: Talk
Friday, March 7, 2008, 16:15–16:30, KGI-HS 1016
How an IR softly-singular quark-gluon vertex can solve the eta eta' problem without instantons — •Richard Williams1, Reinhard Alkofer2, and Christian Fischer1 — 1Schlossgartenstrasse 9, D-64289 Darmstadt, Germany — 2Institute of Physics, Graz University, Universitaetsplatz 5, A-8010 Graz, Austria
Through the analytic behaviour of the quark-gluon vertex in the infrared, as elucidated from studies of the Dyson-Schwinger equations, we show how recently found self-consistent IR divergences, and their associated collinear divergences, may be applied to the Kogut-Susskind mechanism for U(1) symmetry breaking. Thus, without resort to instantons, we have a dynamical means that can help describe the mass splitting of the eta, eta'