Linear $Σ$ Model in the Gaussian Functional Approximation

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dc.creatorNakamura, I.
dc.creatorDmitrasinovic, V.
dc.date2002-01-10
dc.date.accessioned2026-07-07T11:31:58Z
dc.date.available2026-07-07T11:31:58Z
dc.descriptionWe apply a self-consistent relativistic mean-field variational ``Gaussian functional'' (or Hartree) approximation to the linear $σ$ model with spontaneously and explicitly broken chiral O(4) symmetry. We set up the self-consistency, or ``gap'' and the Bethe-Salpeter equations. We check and confirm the chiral Ward-Takahashi identities, among them the Nambu-Goldstone theorem and the (partial) axial current conservation [CAC], both in and away from the chiral limit. With explicit chiral symmetry breaking we confirm the Dashen relation for the pion mass and partial CAC. We solve numerically the gap and Bethe-Salpeter equations, discuss the solutions' properties and the particle content of the theory.
dc.description20 pages 9 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0201064
dc.identifierhttp://arxiv.org/abs/hep-th/0201064
dc.identifierProg.Theor.Phys.106:1195-1212,2001
dc.identifierdoi:10.1143/PTP.106.1195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197448
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleLinear $Σ$ Model in the Gaussian Functional Approximation
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