Aharonov-Bohm effect for a fermion field in a planar black hole "spacetime"
arXiv:1606.09231 · doi:10.1140/epjc/s10052-017-4801-1
Abstract
In this paper we consider the dynamics of a massive spinor field in the background of the acoustic black hole spacetime. Although this effective metric is acoustic and describes the propagation of sound waves, it can be considered as a toy model for the gravitational black hole. In this manner, we study the properties of the dynamics of the fermion field in this "gravitational" rotating black hole as well as the vortex background. We compute the differential cross section through the use of the partial wave approach and show that an effect similar to the gravitational Aharonov-Bohm effect occurs for the massive fermion field moving in this effective metric. We discuss the limiting cases and compare the results with the massless scalar field case.
9 pages, 2 figures
References in corpus (17)
- The Unruh effect and its applications
- Fiber-optical analogue of the event horizon
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
- Viscous dark matter growth in (neo-)Newtonian cosmology
- Lorentz-violating effects on topological defects generated by two real scalar fields
- Traveling solitons in Lorentz-violating systems
- Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
- Noncommutative analogue Aharonov-Bohm effect and superresonance
- Two field BPS solutions for generalized Lorentz breaking models
- Newtonian View of General Relativistic Stars
- Transonic Black Hole Accretion as Analogue System
- Mass Renormalization in Lorentz-violating Scalar Field Theory
- D-Oscillons in the Standard Model-Extension
- Laval nozzle as an acoustic analogue of a massive field
- A note on acoustic black holes in neo-Newtonian theory
- Thermodynamics of acoustic black holes in two dimensions
Cited by in corpus (7)
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- Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
- Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
- Hawking radiation and stability of the canonical acoustic black holes