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Creators/Authors contains: "Weigel, H"

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  1. ; (, Physical Review D)
    The vacuum polarization energy is the leading quantum correction to the classical energy of a soliton. We study this energy for two-component solitons in one space dimension as a function of the soliton’s topological charge. We find that both the classical and the vacuum polarization energies are linear functions of the topological charge with a small offset. Because the combination of the classical and quantum offsets determines the binding energies, either all higher charge solitons are energetically bound or they are all unbound, depending on model parameters. This linearity persists even when the field configurations are very different from those of isolated solitons and would not be apparent from an analysis of their bound state spectra alone. Published by the American Physical Society2025 
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    Free, publicly-accessible full text available April 1, 2026
  2. ; (, Physics Letters B)
    Ringwald, Andreas (Ed.)
    We compute the renormalized one-loop quantum corrections to the energy density T00(x) and pressure T11(x) for solitons in the 1+1 dimensional scalar sine-Gordon and kink models. We show how precise implementation of counterterms in dimensional regularization resolves previously identified discrepancies between the integral of T00(x) and the known correction to the total energy. 
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  3. ; (, Physical Review D)
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  4. ; (, International Journal of Modern Physics A)
    Milton, K. (Ed.)
    We review recent progress in the computation of leading quantum corrections to the energies of classical solitons with topological structure, including multi-soliton models in one space dimension and string configurations in three space dimensions. Taking advantage of analytic continuation techniques to efficiently organize the calculations, we show how quantum corrections affect the stability of solitons in the Shifman–Voloshin model, stabilize charged electroweak strings coupled to a heavy fermion doublet, and bind Nielsen–Olesen vortices at the classical transition between type I and type II superconductors. 
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  5. ; (, Physical Review D)
    null (Ed.)
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  6. ; (, Physical Review D)
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