On one possible method for Casimir pressure renormalization within a sphere

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...

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Veröffentlicht in:Moscow University physics bulletin 2014-11, Vol.69 (6), p.468-473
Hauptverfasser: Dubikovsky, A. I., Silaev, P. K., Timofeevskaya, O. D.
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Sprache:eng
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Zusammenfassung: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.
ISSN:0027-1349
1934-8460
DOI:10.3103/S0027134914060071