Lifshitz formula using box renormalization scheme

Document Type : Full length research Paper

Authors

1 Physics department, University of Qom, Qom, Iran

2 Department of Physics, University of Qom, Qom, Iran.

Abstract

In this paper, the Lifshitz formula for the Casimir energy between two dielectrics in zero temperature is derived using box renormalization. Although there are several derivations for the force in this case in the literature, including Lifshitz’s own proof, so far there has been no unambiguous and rigorous derivation for energy that we are aware of. Since energy becomes important in some cases, e.g. calculation of entropy or heat capacity, using the correct and precise definition of the Casimir energy, for the first time, we remove all of the infinities systematically without any ambiguity. This proof also shows the strength and accuracy of the box renormalization scheme.

Keywords

References

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Journal of Research on Many-body Systems
Volume 8, Issue 18
October 2018
Pages 171-181

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History

  • Receive Date: 05 February 2018
  • Revise Date: 15 May 2018
  • Accept Date: 13 June 2018

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