Fermionic Casimir effect in an external magnetic field
M. V. Cougo-Pinto, C. Farina, A. C. Tort
TL;DR
This paper investigates how a constant magnetic field affects the Casimir energy of a Dirac field, revealing that magnetic fields can potentially increase the fermionic Casimir energy density under certain conditions.
Contribution
It provides a calculation of the fermionic Casimir energy density in an external magnetic field using Schwinger's proper time method, highlighting the potential enhancement effect.
Findings
Magnetic field can enhance fermionic Casimir energy density.
The effect depends on boundary conditions and field strength.
The study applies Schwinger's proper time method for the calculation.
Abstract
The influence of an external constant uniform magnetic field on the Casimir energy density of a Dirac field under antiperiodic (and periodic) boundary condition is computed by applying Schwinger's proper time method. The result thus obtained shows that in principle, under suitable conditions, the magnetic field can enhance the fermionic Casimir energy density.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Quantum Mechanics and Applications · Noncommutative and Quantum Gravity Theories