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Pré-Publication, Document De Travail Année : 2024

Fermion-Vortex Interactions in Axion Electrodynamics

Résumé

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 $\theta$. 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 $\theta$ term can significantly affect the interaction of fermions and vortices. We also perform a dimensional reduction to show a $\theta$ dependent flux attachment to the itinerant fermions.

Dates et versions

hal-04668249 , version 1 (06-08-2024)

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Saurav Kantha, Amitabha Lahiri. Fermion-Vortex Interactions in Axion Electrodynamics. 2024. ⟨hal-04668249⟩
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