Abstract
We investigate stationarity properties of hedgehog configurations in effective quarkmeson Lagrangians involving scalar and vector boson fields with arbitrary self-couplings. The Lagrangians are assumed to be in theSU(2)-sector and to be invariant under Lorentz-transformations, isorotations and time reversal. Restricting ourselves to the mean field solution based on valence quarks in sphericals-orbits and bilinear couplings the quark-hedgehog is shown to generate simply structured meson fields and to correspond to a stationary solution of the equations of motion. In most practical cases this is even of minimal energy.
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Arriola, E.R., Alberto, P., Urbano, J.N. et al. Hedgehog structures in general quark-meson Lagrangians. Z. Physik A - Atomic Nuclei 333, 203–207 (1989). https://doi.org/10.1007/BF01565151
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DOI: https://doi.org/10.1007/BF01565151