Stability in the instantaneous Bethe-Salpeter formalism: harmonic-oscillator reduced Salpeter equation

Simple item page
dc.creatorLi, Z. -F.
dc.creatorLucha, Wolfgang
dc.creatorSchoberl, F.
dc.date2007-07-23
dc.date2007-11-09
dc.date.accessioned2026-07-07T11:17:59Z
dc.date.available2026-07-07T11:17:59Z
dc.descriptionA popular three-dimensional reduction of the Bethe-Salpeter formalism for the description of bound states in quantum field theory is the Salpeter equation, derived by assuming both instantaneous interactions and free propagation of all bound-state constituents. Numerical (variational) studies of the Salpeter equation with confining interaction, however, observed specific instabilities of the solutions, likely related to the Klein paradox and rendering (part of the) bound states unstable. An analytic investigation of this problem by a comprehensive spectral analysis is feasible for the reduced Salpeter equation with only harmonic-oscillator confining interactions. There we are able to prove rigorously that the bound-state solutions correspond to real discrete energy spectra bounded from below and are thus free of any instabilities.
dc.description23 pages, 3 figures, extended conclusions, version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0707.3202
dc.identifierhttp://arxiv.org/abs/0707.3202
dc.identifierPhys.Rev.D76:125028,2007
dc.identifierdoi:10.1103/PhysRevD.76.125028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193195
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleStability in the instantaneous Bethe-Salpeter formalism: harmonic-oscillator reduced Salpeter equation
dc.typetext

Files

Collections

arXiv