# Local Zeta Regularization And The Scalar Casimir Effect: A General Approach Based On Integral Kernels

@inproceedings{Fermi2017LocalZR,
title={Local Zeta Regularization And The Scalar Casimir Effect: A General Approach Based On Integral Kernels},
author={Davide Fermi and L. Pizzocchero},
year={2017}
}
• Published 2017
• Mathematics, Physics
This is the first one of a series of papers about zeta regularization of the divergences appearing in the vacuum expectation value (VEV) of several local and global observables in quantum field theory. More precisely we consider a quantized, neutral scalar field on a domain in any spatial dimension, with arbitrary boundary conditions and, possibly, in presence of an external classical potential. We analyze, in particular, the VEV of the stress-energy tensor, the corresponding boundary forces… Expand
17 Citations

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Local zeta regularization and the scalar Casimir effect II. Some explicitly solvable cases
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In Part I of this series of papers we have described a general formalism to compute the vacuum effects of a scalar field via local (or global) zeta regularization. In the present Part II we exemplifyExpand
Local zeta regularization and the scalar Casimir effect IV. The case of a rectangular box
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Applying the general framework for local zeta regularization proposed in Part I of this series of papers, we compute the renormalized vacuum expectation value of several observables (in particular,Expand
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