Fermion-Vortex Interactions in Axion Electrodynamics
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910978642280448 |
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| author | Kantha, Saurav Lahiri, Amitabha |
| author_facet | Kantha, Saurav Lahiri, Amitabha |
| contents | A relativistic action for scalar condensate-fermion mixture is considered where both the scalar boson and the fermion fields are coupled to a $U(1)$ gauge field. The dynamics of the gauge field is governed by a linear combination of the Maxwell term, and the Lorentz invariant $\mathbf{E\cdot B}$ term with a constant coefficient $θ$. We obtain an effective action describing an emergent fermion-fermion interaction and fermion-vortex tube interaction by using the particle-string duality, and find that the $θ$ term can significantly affect the interaction of fermions and vortices. We also perform a dimensional reduction to show a $θ$ dependent flux attachment to the itinerant fermions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17567 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fermion-Vortex Interactions in Axion Electrodynamics Kantha, Saurav Lahiri, Amitabha Superconductivity High Energy Physics - Phenomenology High Energy Physics - Theory A relativistic action for scalar condensate-fermion mixture is considered where both the scalar boson and the fermion fields are coupled to a $U(1)$ gauge field. The dynamics of the gauge field is governed by a linear combination of the Maxwell term, and the Lorentz invariant $\mathbf{E\cdot B}$ term with a constant coefficient $θ$. We obtain an effective action describing an emergent fermion-fermion interaction and fermion-vortex tube interaction by using the particle-string duality, and find that the $θ$ term can significantly affect the interaction of fermions and vortices. We also perform a dimensional reduction to show a $θ$ dependent flux attachment to the itinerant fermions. |
| title | Fermion-Vortex Interactions in Axion Electrodynamics |
| topic | Superconductivity High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.17567 |