The Casimir interaction of a massive vector field between concentric spherical bodies

Abstract

The Casimir interaction energy due to the vacuum fluctuations of a massive vector field between two perfectly conducting concentric spherical bodies is computed. The TE contribution to the Casimir interaction energy is a direct generalization of the massless case but the TM contribution is much more complicated. Each TM mode is a linear combination of a transverse mode which is the generalization of a TM mode in the massless case and a longitudinal mode that does not appear in the massless case. In contrast to the case of two parallel perfectly conducting plates, the are no TM discrete modes that vanish identically in the perfectly conducting spherical bodies. Numerical simulations show that the Casimir interaction force between the two bodies is always attractive.

7 pages, 4 figures

References in corpus (3)

• Casimir Piston of Real Materials and its Application to Multi-Layer Models
• Casimir effect of electromagnetic field in D-dimensional spherically symmetric cavities
• Casimir effect of massive vector fields

Cited by in corpus (6)

• Stueckelberg massive electromagnetism in curved spacetime: Hadamard renormalization of the stress-energy tensor and the Casimir effect
• Casimir densities for a spherical boundary in de Sitter spacetime
• Casimir-Polder interactions with massive photons: implications for BSM physics
• Casimir Wormholes in Brans-Dicke Theory
• Two-point functions and the vacuum densities in the Casimir effect for the Proca field
• Zero and finite temperature Casimir effect of massive vector field between real metals