The vacuum energy for two cylinders one of which becoming large

Abstract

We consider the vacuum energy for a configuration of two cylinders and obtain its asymptotic expansion if the radius of one of these cylinders becomes large while the radius of the other one and their separation are kept fixed. We calculate explicitly the next-to-leading order correction to the vacuum energy for the radius of the other cylinder becoming large or small.

13 pages, 3 figures numerical evaluation added, misprints corrected

References in corpus (5)

• The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
• Worldline algorithms for Casimir configurations
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