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

@inproceedings{Fermi2015LocalZR,
  title={Local Zeta Regularization And The Scalar Casimir Effect: A General Approach Based On Integral Kernels},
  author={Davide Fermi and Livio Pizzocchero},
  year={2015}
}
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… 

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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,

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