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20012025
most citedCollective Coordinates in One-Dimensional Soliton Models Revisited

102 citations · 292 across the 17 of their papers we have counts for

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17 papers

hep-th2025

Examples for BPS solitons destabilized by quantum effects

Willem J. Meyer, Herbert Weigel

We investigate serval models for two scalar fields in one space dimension with topologically stable solitons that are constructed from BPS equations. The asymptotic behavior of the…

hep-th2019★ 23 cited

Quantum Instabilities of Solitons

H. Weigel

We compute the vacuum polarization energies for a couple of soliton models in one space and one time dimensions. These solitons are mappings that connect different degenerate vacua…

hep-ph2019★ 4 cited

Nucleon Structure Functions from the NJL-Model Chiral Soliton

I. Takyi, H. Weigel

We present numerical simulations for unpolarized and polarized structure functions in a chiral soliton model. The soliton is constructed self-consistently from quark fields from wh…

hep-th2017★ 9 cited

Spectral Methods for Coupled Channels with a Mass Gap

H. Weigel, M. Quandt, N. Graham

We develop a method to compute the vacuum polarization energy for coupled scalar fields with different masses scattering off a background potential in one space dimension. As an ex…

nlin.PS2016★ 102 cited

Collective Coordinates in One-Dimensional Soliton Models Revisited

I. Takyi, H. Weigel

We compare numerical solutions to the full field equations to simplified approaches based on implementing three collective coordinates for kink-antikink interactions within the $φ^…

hep-th2016★ 2 cited

Cosmic Strings Stabilized by Quantum Fluctuations

H. Weigel

We compute fermion quantum corrections to the energy of cosmic strings. A number of rather technical tools is needed to formulate this correction and we employ isospin and gauge in…