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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19557779 |
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| _version_ | 1866901745695719424 |
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| author | Drury, Peter James |
| author_facet | Drury, Peter James |
| contents | <p>We formally derive a curvature-penalized defect energy functional from a minimal scalar field theory defined on a compact periodic fiber. In a thin-core localization regime, the field energy admits an asymptotic expansion whose reduced one-dimensional part consists of a tension term and a curvature penalty. This provides a field-theoretic origin for the wrapped-defect functional used in previous work on inverse spectral ladders. The derivation is presented at the level of a controlled asymptotic expansion; a full variational justification is left for future work.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19557779 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Thin-Core Reduction of a Periodic Fiber Field Theory to a Curvature-Defect Energy Functional Drury, Peter James thin-core reduction curvature-defect energy periodic fiber wrapped defect asymptotic expansion line tension bending rigidity <p>We formally derive a curvature-penalized defect energy functional from a minimal scalar field theory defined on a compact periodic fiber. In a thin-core localization regime, the field energy admits an asymptotic expansion whose reduced one-dimensional part consists of a tension term and a curvature penalty. This provides a field-theoretic origin for the wrapped-defect functional used in previous work on inverse spectral ladders. The derivation is presented at the level of a controlled asymptotic expansion; a full variational justification is left for future work.</p> |
| title | Thin-Core Reduction of a Periodic Fiber Field Theory to a Curvature-Defect Energy Functional |
| topic | thin-core reduction curvature-defect energy periodic fiber wrapped defect asymptotic expansion line tension bending rigidity |
| url | https://doi.org/10.5281/zenodo.19557779 |