Global vs local Casimir effect

Understand

This paper continues the investigation of the Casimir effect with the use of the algebraic formulation of quantum field theory in the initial value setting.

• Basing on earlier papers by one of us (AH) we approximate the Dirichlet and Neumann boundary conditions by simple interaction models whose nonlocality in physical space is under strict control, but which at the same time are admissible from the point of view of algebraic restrictions imposed on models in the context of Casimir backreaction.
• The geometrical setting is that of the original parallel plates.
• By scaling our models and taking appropriate limit we approach the sharp boundary conditions in the limit.