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High Energy Physics - Theory

arXiv:1104.0688 (hep-th)
[Submitted on 4 Apr 2011]

Title:Conical Casimir Pistons with Hybrid Boundary Conditions

Authors:Guglielmo Fucci, Klaus Kirsten
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Abstract:In this paper we compute the Casimir energy and force for massless scalar fields endowed with hybrid boundary conditions, in the setting of the bounded generalized cone. By using spectral zeta function regularization methods, we obtain explicit expressions for the Casimir energy and force in arbitrary dimensions in terms of the zeta function defined on the piston. Our general formulas are, subsequently, specialized to the case in which the piston is modelled by a $d$-dimensional sphere. In this particular situation, explicit results are given for $d=2,3,4,5$.
Comments: LaTex, 26 Pages
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1104.0688 [hep-th]
  (or arXiv:1104.0688v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1104.0688
Journal reference: J.Phys.A44:295403,2011
Related DOI: https://doi.org/10.1088/1751-8113/44/29/295403

Submission history

From: Guglielmo Fucci Dr. [view email]
[v1] Mon, 4 Apr 2011 20:41:04 UTC (218 KB)
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