English

Parity violating cylindrical shell in the framework of QED

High Energy Physics - Theory 2008-11-07 v2 Statistical Mechanics Quantum Physics

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 aa. 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 MM, and they renormalize classical part of the surface action. We reveal the dependence of CE on the coupling constant aa. Corresponding Casimir force is attractive for all values of aa. For aa\to\infty we reproduce the known results for CE for perfectly conducting cylindrical shell first obtained by DeRaad and Milton.

Keywords

Cite

@article{arxiv.0710.4049,
  title  = {Parity violating cylindrical shell in the framework of QED},
  author = {I. V. Fialkovsky and V. N. Markov and Yu. M. Pis'mak},
  journal= {arXiv preprint arXiv:0710.4049},
  year   = {2008}
}

Comments

Typos corrected. Some references added

R2 v1 2026-06-21T09:34:40.163Z