Vacuum densities and zero-point energy for fields obeying Robin conditions on cylindrical surfaces
August Romeo (IEEC/CSIC), Aram A. Saharian (Yerevan State University,, Armenia)
TL;DR
This paper investigates the Casimir effect for scalar fields with Robin boundary conditions on cylindrical surfaces, analyzing vacuum energy, stress, and energy contributions in various spacetime dimensions.
Contribution
It provides a detailed analysis of vacuum energies and stresses for scalar fields with Robin conditions on cylinders, including energy separation and potential special boundary conditions.
Findings
Identification of volumic and superficial energy contributions.
Analysis of vacuum stress distribution.
Potential for certain boundary conditions to be energetically favored.
Abstract
The Casimir effect for general Robin conditions on the surface of a cylinder in -spacetime dimensions is studied for massive scalar field with general curvature coupling. The energy distribution and vacuum stress are investigated. We separate volumic and superficial energy contributions, for both interior and exterior space regions. The possibility that some special conditions may be energetically singled out is indicated.
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