Theory of Light Quarks in the Confining Vacuum

dc.creatorSimonov, Yu. A.
dc.date1997-04-11
dc.date.accessioned2026-07-07T04:01:31Z
dc.date.available2026-07-07T04:01:31Z
dc.descriptionThe light quark propagation in the confining vacuum, described by an (infinite) set of gauge-invariant vacuum correlators, is studied in detail. To keep gauge invariance at each step the system of light quark and heavy antiquark is considered, and the nonlinear equations are written explicitly for the quark propagator in the limit of large $N_c$. For the lowest (Gaussian) correlator the system is studied in various approximations, and the relativistic WKB method is used to demonstrate the scalar confining interaction of light quarks, which implies chiral symmetry breaking. The chiral condensate is estimated by the relativistic WKB method, and connection to the density of global zero modes is clarified. The higher even order correlators are shown to yield the same properties of scalar confining interaction for light quarks. No attempt was made to solve the obtained nonlinear equations numerically, but the qualitative conclusion on connection between confinement and chiral symmetry breaking is drawn, and an estimate of the chiral condensate is performed.
dc.description54 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/hep-ph/9704301
dc.identifierhttp://arxiv.org/abs/hep-ph/9704301
dc.identifierPhys.Atom.Nucl. 60 (1997) 2069-2093; Yad.Fiz. 60 (1997) 2252-2276
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/46923
dc.subjectHigh Energy Physics - Phenomenology
dc.titleTheory of Light Quarks in the Confining Vacuum
dc.typetext

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