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High Energy Physics - Theory

arXiv:hep-th/0110044 (hep-th)
[Submitted on 4 Oct 2001 (v1) , last revised 14 Jun 2002 (this version, v3)]

Title: Local Casimir Energy for a Wedge with circular outer boundary

Title: 楔形体的局部卡西米尔能量与圆形外边界

Authors:Amir H. Rezaeian, Aram A. Saharian
Abstract: The local Casimir energy is investigated for a wedge with and without a circular outer boundary due to the confinement of a massless scalar field with general curvature coupling parameter and satisfying the Dirichlet boundary conditions. Regularization procedure is carried out making use of a variant of the generalized Abel-Plana formula, previously established by one of the authors. The surface divergences in the vacuum expectation values of the energy density near the boundaries are considered. The corresponding results can be applied to the cosmic strings.
Comments: 11 pages, 4 figures, discussion of surface divergences extended, new 3D plots, references added, accepted for publication in Class. Quantum Grav
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:hep-th/0110044
  (or arXiv:hep-th/0110044v3 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0110044
Journal reference: Class.Quant.Grav. 19 (2002) 3625-3634
Related DOI: https://doi.org/10.1088/0264-9381/19/14/305

Submission history

From: A. H. Rezaeian [view email]
[v1] Thu, 4 Oct 2001 13:23:48 UTC (37 KB)
[v2] Fri, 5 Oct 2001 16:39:13 UTC (37 KB)
[v3] Fri, 14 Jun 2002 14:20:27 UTC (30 KB)
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