6533b830fe1ef96bd1297212

RESEARCH PRODUCT

Quark gap equation within the analytic approach to QCD

A.v. NesterenkoArlene Cristina AguilarJoannis Papavassiliou

subject

QuarkPhysicsQuantum chromodynamicsStandard formHigh Energy Physics - TheoryNuclear and High Energy PhysicsHigh Energy Physics::LatticeFísicaFOS: Physical sciencesAsymptotic freedomAtomic and Molecular Physics and OpticsTheoretical physicsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Chiral symmetry breakingPion decay constant

description

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.

https://dx.doi.org/10.48550/arxiv.hep-ph/0510117