Parity violating cylindrical shell in the framework of QED

Abstract

We present calculations of Casimir energy (CE) in a system of quantized electromagnetic (EM) field interacting with an infinite circular cylindrical shell (which we call `the defect'). Interaction is described in the only QFT-consistent way by Chern-Simon action concentrated on the defect, with a single coupling constant $a$. For regularization of UV divergencies of the theory we use % physically motivated Pauli-Villars regularization of the free EM action. The divergencies are extracted as a polynomial in regularization mass $M$, and they renormalize classical part of the surface action. We reveal the dependence of CE on the coupling constant $a$. Corresponding Casimir force is attractive for all values of $a$. For $a\to \infty$ we reproduce the known results for CE for perfectly conducting cylindrical shell first obtained by DeRaad and Milton.

Typos corrected. Some references added

References in corpus (3)

• Casimir forces between arbitrary compact objects
• The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
• Casimir effect for thin films from imperfect materials

Cited by in corpus (1)

• On the Casimir energy for scalar fields with bulk inhomogeneities