Behaviour of propagator and quark confinement

dc.creatorSauli, V.
dc.date2009-02-06
dc.date2009-02-26
dc.date.accessioned2026-07-07T12:46:37Z
dc.date.available2026-07-07T12:46:37Z
dc.descriptionThe propagator of confined quarks is calculated for timelike momenta by transforming Minkowski Greens functions to the Temporal Euclidean space. Based on the framework of the Schwinger-Dyson equations the QCD quark propagator is obtained in two approximations which differ by assuming behaviour of gluon propagator. In both studied cases we get universal result for the light quarks: The quark mass function becomes complex bellow expected perturbative threshold, the obtained absolute value of the infrared mass is $M\simeq Λ_{QCD} $ with the infrared phase $\simeq {π\over 2}$. Permanent confinement of quarks is maintained by generation of the complex mass function which prevents a real pole in the propagator. We will show that timelike dynamical Chiral Symmetry Breaking (CSB) solution is approximately, but non-trivially determined by the solution of gap equation in the standard Euclidean space.
dc.description10 pages, reference added, few typos corrected
dc.identifierhttps://arxiv.org/abs/0902.1195
dc.identifierhttp://arxiv.org/abs/0902.1195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221444
dc.subjectHigh Energy Physics - Phenomenology
dc.titleBehaviour of propagator and quark confinement
dc.typetext

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