Spectral analysis of Dirac operators for fermion scattering on topological solitons in the nonlinear $O(3)$ $σ$-model
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917952600670208 |
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| author | Funakawa, Daiju Okumura, Satoshi Ueda, Yuki |
| author_facet | Funakawa, Daiju Okumura, Satoshi Ueda, Yuki |
| contents | We investigate the existence of discrete positive or negative energy ground states of the Dirac operator $H$ which describe the fermion scattering on topological solitons in the nonlinear $O(3)$ $σ$-model. Additionally, we provide a sufficient condition to ensure that the positive and negative energies of the Dirac operator $H$ are non-zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10549 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectral analysis of Dirac operators for fermion scattering on topological solitons in the nonlinear $O(3)$ $σ$-model Funakawa, Daiju Okumura, Satoshi Ueda, Yuki Mathematical Physics Functional Analysis 81Q10, 47A75, 47B25, 81Q60 We investigate the existence of discrete positive or negative energy ground states of the Dirac operator $H$ which describe the fermion scattering on topological solitons in the nonlinear $O(3)$ $σ$-model. Additionally, we provide a sufficient condition to ensure that the positive and negative energies of the Dirac operator $H$ are non-zero. |
| title | Spectral analysis of Dirac operators for fermion scattering on topological solitons in the nonlinear $O(3)$ $σ$-model |
| topic | Mathematical Physics Functional Analysis 81Q10, 47A75, 47B25, 81Q60 |
| url | https://arxiv.org/abs/2405.10549 |