Spontaneous Breaking of Chiral Symmetry as a Consequence of Confinement

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dc.creatorIvanov, A. N.
dc.creatorTroitskaya, N. I.
dc.creatorFaber, M.
dc.creatorSchaler, M.
dc.creatorNagy, M.
dc.date1993-06-08
dc.date1993-06-11
dc.date.accessioned2026-07-07T08:59:51Z
dc.date.available2026-07-07T08:59:51Z
dc.descriptionWe show that at the leading order in the large-$N$ expansion a lattice QCD motivated linear rising confinement potential at large distances leads to a non-local four-quark interaction that realizes spontaneous breaking of chiral symmetry (SBCS) in the same way the Nambu-Jona-Lasinio model does. The dynamical quark mass $m$, which represents the solution of the gap-equation, is proportional to the square root of the string tension $σ$ and takes the form at the leading order in the large-$N$ expansion $m=2 \sqrtσ/π$ with $σ=0.27$ GeV$^2$. The Nambu-Jona-Lasinio phenomenological constant $G_1$, which is responsible for SBCS, is expressed in terms of the string tension and the confinement radius.
dc.description10 pages, 0 figures, latex, IK-TUW-Preprint 9305401
dc.identifierhttps://arxiv.org/abs/hep-ph/9306243
dc.identifierhttp://arxiv.org/abs/hep-ph/9306243
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147863
dc.subjectHigh Energy Physics - Phenomenology
dc.titleSpontaneous Breaking of Chiral Symmetry as a Consequence of Confinement
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