Inertial forces in the Casimir effect with two moving plates

Abstract

We combine linear response theory and dimensional regularization in order to derive the dynamical Casimir force in the low frequency regime. We consider two parallel plates moving along the normal direction in $D-$dimensional space. We assume the free-space values for the mass of each plate to be known, and obtain finite, separation-dependent mass corrections resulting from the combined effect of the two plates. The global mass correction is proportional to the static Casimir energy, in agreement with Einstein's law of equivalence between mass and energy for stressed rigid bodies.

9 pages, 1 figure; title and abstract changed; to appear in Physical Review D

References in corpus (3)

• New Developments in the Casimir Effect
• Fluctuations and dissipation for a mirror in vacuum
• Resonant photon creation in a three dimensional oscillating cavity

Cited by in corpus (5)

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• Derivative expansion for the Casimir effect at zero and finite temperature in $d+1$ dimensions
• Quantum radiation pressure on a moving mirror at finite temperature
• Entanglement of resonantly coupled field modes in cavities with vibrating boundaries
• Quantum radiation reaction force on a one-dimensional cavity with two relativistic moving mirrors