In Plebański nonlinear electrodynamics, Casimir energy diverges approaching Lorentz-breaking magnetic vacua in the regular sector, but this signals noncommutativity of quantization and symmetry-breaking imposition rather than physical divergence at the exact vacuum.
Casimir effects in Lorentz-violating scalar field theory
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abstract
In this paper we consider a Lorentz-breaking extension of the theory for a real massive scalar quantum field in the region between two large parallel plates, with our manner to break the Lorentz symmetry is CPT-even, aether-like. For this system we calculated the Casimir energy considering different boundary conditions. It turns out to be that the Casimir energy strongly depends on the direction of the constant vector implementing the Lorentz symmetry breaking, as well as on the boundary conditions.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Calculates renormalized Casimir free energy and thermodynamic quantities for a scalar field in a wormhole spacetime at finite temperature, finding geometry-independent thermal corrections in the comoving frame.
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Casimir effect near spontaneously Lorentz-breaking magnetic vacua in Pleba\'nski nonlinear electrodynamics
In Plebański nonlinear electrodynamics, Casimir energy diverges approaching Lorentz-breaking magnetic vacua in the regular sector, but this signals noncommutativity of quantization and symmetry-breaking imposition rather than physical divergence at the exact vacuum.
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Thermal Casimir Effect in A Schwarzschild-like Wormhole Spacetime
Calculates renormalized Casimir free energy and thermodynamic quantities for a scalar field in a wormhole spacetime at finite temperature, finding geometry-independent thermal corrections in the comoving frame.