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.

11 pages, no figures

References in corpus (3)

• Functional Determinants in Quantum Field Theory
• Casimir effect for the scalar field under Robin boundary conditions: A functional integral approach
• The Casimir energy in terms of boundary quantum field theory: the QED case