Casimir energy for spinor fields with $\delta$-shell potentials

Abstract

This work analyzes the Casimir energy of a massive spinor field propagating in flat space endowed with a spherically symmetric $\delta$-function potential. By utilizing the spectral zeta function regularization method, the Casimir energy is evaluated after performing a suitable analytic continuation. Explicit numerical results are provided for specific cases in which the Casimir energy is unambiguously defined. The results described in this work represent a generalization of the MIT bag model for spinor fields.

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References in corpus (15)

• New Developments in the Casimir Effect
• Heat kernel expansion: user's manual
• The Casimir effect: Recent controversies and progress
• Casimir energy in the MIT bag model
• Magnetic Kronig-Penney model for Dirac electrons in single-layer graphene
• Vacuum energy in a spherically symmetric background field
• Gauge Theories in a Bag
• On the MIT bag model: self-adjointness and non-relativistic limit
• Casimir forces in inhomogeneous media: renormalization and the principle of virtual work
• One-dimensional scattering of fermions on $\delta$-impurities
• The Casimir effect for fields with arbitrary spin
• Casimir self-energy of a δ-δ' sphere
• Functional determinants and Casimir energy in higher dimensional spherically symmetric background potentials
• Induced Current and Aharonov-Bohm Effect in Graphene
• A generalized bag-like boundary condition for fields with arbitrary spin

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