Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-22
J.Phys.A41:075403,2008
Physics
High Energy Physics
High Energy Physics - Theory
Typos corrected. Some references added
Scientific paper
10.1088/1751-8113/41/7/075403
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.
Fialkovsky Ignat V.
Markov Vladimir N.
Pis'mak Yu. M.
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