Browsing by Author "Weigel, Herbert"

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    Chiral Soliton Models and Nucleon Structure Functions
    (Symmetry, 2021) Weigel, Herbert; Takyi, Ishmael; 0000-0002-1217-0889
    We outline and review the computations of polarized and unpolarized nucleon structure functions within the bosonized Nambu-Jona-Lasinio chiral soliton model. We focus on a consistent regularization prescription for the Dirac sea contribution and present numerical results from that formulation. We also reflect on previous calculations on quark distributions in chiral quark soliton models and attempt to put them into perspective.
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    Quantum corrections to solitons in the ϕ8 model
    (Physical Review D, 2020) Takyi, Ishmael; Matfunjwa, M. K.; Weigel, Herbert; 0000-0002-1217-0889
    We compute the vacuum polarization energy of kink solitons in the ϕ8 model in one space and one time dimensions. There are three possible field potentials that have eight powers of ϕ and that possess kink solitons. For these different field potentials we investigate whether the vacuum polarization destabilizes the solitons. This may particularly be the case for those potentials that have degenerate ground states with different curvatures in field space yielding different thresholds for the quantum fluctuations about the solitons at negative and positive spatial infinity. We find that destabilization occurs in some cases, but this is not purely a matter of the field potential but also depends on the realized soliton solution for that potential. One of the possible field potentials has solitons with different topological charges. In that case the classical mass approximately scales like the topological charge. Even though destabilization precludes robust statements, there are indications that the vacuum polarization energy does not scale as the topological charge