Null energy conditions outside a background potential
Jul, 200312 pages
Published in:
- Phys.Rev.D 68 (2003) 065016,
- Phys.Rev.D 72 (2005) 069901 (erratum)
e-Print:
- hep-th/0307067 [hep-th]
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Abstract: (arXiv)
We study the Casimir energy of a minimally coupled, real, massless scalar field outside a spherically symmetric background potential. We obtain a general expression for the null energy condition in d dimensions and explicit expressions for a perfectly reflecting spherical boundary in 3+1 and 2+1 dimensions. In these cases, the null energy condition is always violated for radial motion and obeyed for azimuthal motion. Nevertheless, the averaged null energy condition is always obeyed.Note:
- 17 pages, 7 figures Minor errors in equations (15,26,31-33,35,A5,A6) corrected. Conclusions unaffected. After original publication, we learned of similar work by Saharian (hep-th/0012185)
- 03.65.Nk
- 99.10.Cd
- 04.20.Gz
- field theory: scalar
- field theory: massless
- background field
- symmetry: rotation
- quantization
- boundary condition
- energy
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