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arxiv: 1505.01651 · v3 · pith:BRCZCBVWnew · submitted 2015-05-07 · 🧮 math-ph · hep-th· math.MP· quant-ph

Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential

classification 🧮 math-ph hep-thmath.MPquant-ph
keywords harmoniclocalpotentialregularizationscalarzetaapplyingbackground
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Applying the general framework for local zeta regularization proposed in Part I of this series of papers, we renormalize the vacuum expectation value of the stress-energy tensor (and of the total energy) for a scalar field in presence of an external harmonic potential.

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