Mass Generation from Embedding Geometry in Surface Nematics
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866914579313852416 |
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| author | Santiago, J. A. Monroy, F. |
| author_facet | Santiago, J. A. Monroy, F. |
| contents | We show that a nematic field constrained to a curved embedded surface develops an emergent geometric mass in its leading isotropic interaction sector. An auxiliary embedding-space closure mediated by the surface spin connection yields a massive scalar mode \(χ_n\) with mass set by the extrinsic curvature invariant \(m^2=K_{ab}K^{ab}\). This mass arises directly from embedding geometry, promoting the intrinsic massless nematic interaction into a geometry-controlled massive field. The resulting theory identifies Gaussian curvature as a distributed geometric charge and establishes embedding geometry as the regulator of defect interactions on curved nematic membranes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19183 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mass Generation from Embedding Geometry in Surface Nematics Santiago, J. A. Monroy, F. Soft Condensed Matter We show that a nematic field constrained to a curved embedded surface develops an emergent geometric mass in its leading isotropic interaction sector. An auxiliary embedding-space closure mediated by the surface spin connection yields a massive scalar mode \(χ_n\) with mass set by the extrinsic curvature invariant \(m^2=K_{ab}K^{ab}\). This mass arises directly from embedding geometry, promoting the intrinsic massless nematic interaction into a geometry-controlled massive field. The resulting theory identifies Gaussian curvature as a distributed geometric charge and establishes embedding geometry as the regulator of defect interactions on curved nematic membranes. |
| title | Mass Generation from Embedding Geometry in Surface Nematics |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2605.19183 |