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arXiv · 2405.10549

Spectral analysis of Dirac operators for fermion scattering on topological solitons in the nonlinear $O(3)$ $\sigma$-model

Daiju Funakawa·Satoshi Okumura·Yuki Ueda
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Abstract

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 $O(3)$ $\sigma$-model. Additionally, we provide a sufficient condition to ensure that the positive and negative energies of the Dirac operator $H$ are non-zero.

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Daiju Funakawa, Satoshi Okumura, Yuki Ueda. 2024-05-17. Spectral analysis of Dirac operators for fermion scattering on topological solitons in the nonlinear $O(3)$ $\sigma$-model. https://arxiv.org/abs/2405.10549

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