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arxiv: 1106.3657 · v1 · pith:XCPOE4RLnew · submitted 2011-06-18 · ✦ hep-th

Vacuum energies on spheres and in cubes

classification ✦ hep-th
keywords spheresvacuumcalculatedconformallycoupledcubesd-cubed-dimensional
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The vacuum energy of a conformally coupled scalar field on the d-dimensional sphere is calculated. On even spheres it is zero and on odd spheres it oscillates in sign. Results for the d-torus and d-cube are also given.

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