Fermionic Casimir effect in a field theory model with Lorentz symmetry violation

Abstract

In this paper, we evaluate the Casimir energy and pressure for a massive fermionic field confined in the region between two parallel plates. In order to implement this confinement we impose the standard MIT bag boundary on the plates for the fermionic field. In this paper we consider a quantum field theory model with a CPT even, aether-like Lorentz symmetry violation. It turns out that the fermionic Casimir energy and pressure depend on the direction of the constant vector that implements the Lorentz symmetry breaking.

arXiv commentVersion accepted for publication in PRD, metadata corrected

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• Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
• Novel Casimir wormholes in Einstein gravity
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• Radiative Correction to the Casimir Energy for Lorentz-violating Scalar Field in d+1 Dimensions
• Casimir effect in polymer scalar field theory
• Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario
• One-Loop Correction to the Casimir Energy in Lorentz-Violating ${\varphi }^4$ Theory with Rough Membrane Boundaries
• Massive fermion between two parallel chiral plates
• Scalar Casimir effect for a conducting cylinder in a Lorentz violating background
• Fermionic Casimir effect in the presence of compact dimension in field theory with Lorentz invariance violation
• Æther Coupling Effects on Casimir Energy for Self-Interacting Scalar Field within Extra Dimension
• Lattice Fermionic Casimir effect in a Slab Bag and Universality
• Casimir Energy for Lorentz-Violating Scalar Field with Helical Boundary Condition in d Spatial Dimensions