Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-02-23
JHEP 0609 (2006) 047
Physics
High Energy Physics
High Energy Physics - Phenomenology
Version published in JHEP
Scientific paper
10.1088/1126-6708/2006/09/047
We show how such important features of QCD as chiral symmetry breaking or the formation of a mass-gap can be directly traced from QCD sum rules for two point functions assuming, in the large number of colors limit, exact duality between the operator product expansion and the spectrum described by linearly (or nearly linear) rising Regge trajectories as predicted by string theory. We see how the presence of chiral symmetry breaking is intimately related to confinement in this scenario, as expected from general arguments, and how Regge trajectories change when chiral symmetry is broken. As a result the whole meson mass spectrum can be parametrized with a good accuracy by the constant $f_{\pi}$ only, thus realizing the program proposed by Migdal some time ago.
Afonin S. S.
Espriu Domenec
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