Quark gap equation within the analytic approach to QCD

Details Quark gap equation within the analytic approach to QCD Quark gap equation within the analytic approach to QCD

2005-10-10

arxiv.org/abs/hep-ph/0510117v1

Nucl. Phys. B (Proc. Suppl.) 164 (2007) 300-303

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk given by J.P. at 12th International QCD Conference (QCD05), 4 - 9 July 2005, Montpellier, France; 4 pages, 3 figures

Scientific paper

10.1016/j.nuclphysbps.2006.11.07

The compatibility between the QCD analytic invariant charge and chiral symmetry breaking is examined in detail. The coupling in question incorporates asymptotic freedom and infrared enhancement into a single expression, and contains only one adjustable parameter with dimension of mass. When inserted into the standard form of the quark gap-equation it gives rise to solutions displaying singular confining behavior at the origin. By relating these solutions to the pion decay constant, a rough estimate of about 880 MeV is obtained for the aforementioned mass-scale.

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