Casimir energy of a spherical shell in $\kappa -$Minkowski spacetime

Abstract

We study the Casimir energy of a spherical shell of radius $a$ in $\kappa$-Minkowski spacetime for a complex field with an asymmetric ordering and obtain the energy up to $O(1/{\kappa }^2)$. We show that the vacuum breaks particle and anti-particle symmetry if one requires the spectra to be consistent with the blackbody radiation at the commutative limit.

23 pages, 3 figures, add more analysis

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