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arXiv · 0710.4049

Parity violating cylindrical shell in the framework of QED

I. V. Fialkovsky·V. N. Markov·Yu. M. Pis'mak
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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.

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I. V. Fialkovsky, V. N. Markov, Yu. M. Pis'mak. 2008-01-05. Parity violating cylindrical shell in the framework of QED. https://doi.org/10.1088/1751-8113%2F41%2F7%2F075403

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