Casimir self-entropy of a spherical electromagnetic δ-function shell

Kimball A. Milton, Pushpa Kalauni, Prachi Parashar, and Yang Li
Phys. Rev. D 96, 085007 – Published 27 October 2017

Abstract

In this paper we continue our program of computing Casimir self-entropies of idealized electrical bodies. Here we consider an electromagnetic δ-function sphere (“semitransparent sphere”) whose electric susceptibility has a transverse polarization with arbitrary strength. Dispersion is incorporated by a plasma-like model. In the strong-coupling limit, a perfectly conducting spherical shell is realized. We compute the entropy for both low and high temperatures. The transverse electric self-entropy is negative as expected, but the transverse magnetic self-entropy requires ultraviolet and infrared renormalization (subtraction), and, surprisingly, is only positive for sufficiently strong coupling. Results are robust under different regularization schemes. These rather surprising findings require further investigation.

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  • Received 31 July 2017

DOI:https://doi.org/10.1103/PhysRevD.96.085007

© 2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Particles & Fields

Authors & Affiliations

Kimball A. Milton1,*, Pushpa Kalauni1,†, Prachi Parashar2,1,‡, and Yang Li1,§

  • 1H. L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, Oklahoma 73019, USA
  • 2Department of Energy and Process Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway

  • *kmilton@ou.edu
  • pushpakalauni60@gmail.com
  • prachi.parashar@ntnu.no
  • §liyang@ou.edu

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Issue

Vol. 96, Iss. 8 — 15 October 2017

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