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On one possible method for Casimir pressure renormalization within a sphere

A.I. Dubikovsky$^1$, P.K. Silaev$^2$, O.D. Timofeevskaya$^2$

Moscow University Physics Bulletin 2014. 69. N 6. P. 468

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Annotation

We propose a method for Casimir pressure renormalization for a massive scalar field within a sphere. This method differs somewhat from the commonly used one. An alternative method of choosing the normalization point leads not to an inverse polynomial dependence of pressure on the field mass, but to an exponential one. The proposed method does not use scalar fields quantized in the exterior region and thus allows one to circumvent the difficulties that are associated with the standard approach.

Received: 2014 July 17
Approved: 2015 January 21
PACS:
11.10.-z Field theory
11.10.Gh Renormalization
Authors
A.I. Dubikovsky$^1$, P.K. Silaev$^2$, O.D. Timofeevskaya$^2$
$^1$Bogoliubov Institute for Theoretical Problems of Microphysics, Moscow State University, Moscow, 119991, Russia
$^2$Department of Physics, Moscow State University, Moscow, 119991, Russia
Issue 6, 2014

Moscow University Physics Bulletin

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