Path-integral approach to Casimir effect with infinitely thin plates

Abstract

When studying the Casimir effect in a quantum field theory setting, one can impose the boundary conditions by adding appropriate Dirac-delta functions to the path integral. In this paper, the limits of this approach are explored under different boundary conditions.

arXiv comment11 pages, no figures

References in corpus (10)

• The Casimir effect: Recent controversies and progress
• Path Integral Approach to the Dynamic Casimir Effect with Fluctuating Boundaries
• The Dirichlet Casimir Problem
• Functional Determinants in Quantum Field Theory
• Casimir effect for the scalar field under Robin boundary conditions: A functional integral approach
• The Casimir effect in chiral media using path integral techniques
• The Casimir energy in terms of boundary quantum field theory: the QED case
• Casimir effect for perfect electromagnetic conductors (PEMCs): A sum rule for attractive/repulsive forces
• Neumann Casimir effect: a singular boundary-interaction approach
• Dynamical edge modes in Maxwell theory from a BRST perspective, with an application to the Casimir energy