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arxiv: hep-ph/0510117 · v1 · submitted 2005-10-10 · ✦ hep-ph · hep-th

Quark gap equation within the analytic approach to QCD

classification ✦ hep-ph hep-th
keywords analyticquarksolutionsadjustableaforementionedapproachasymptoticbehavior
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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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