Infrared behavior of QCD from the Dyson-Schwinger formalism

Details Infrared behavior of QCD from the Dyson-Schwinger formalism Infrared behavior of QCD from the Dyson-Schwinger formalism

2008-10-14

arxiv.org/abs/0810.2526v1

PoS LC2008:048,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 figures, talk presented at the conference LIGHT CONE 2008, July 7-11, 2008, Mulhouse, France

Scientific paper

We discuss the properties of two different types of infrared solutions of Landau gauge Yang-Mills theory and argue for one of these (the 'scaling solution'). We furthermore clarify the status of previously obtained results from DSEs on a four-torus. Including quarks we discuss a relation between confinement and dynamical chiral symmetry breaking based on the scaling solution of Yang-Mills theory. An infrared singularity in the quark-gluon vertex allows for a solution of the $U_A$(1) problem along the lines of a mechanism suggested by Kogut and Susskind long ago.

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