34 citations · 226 across the 37 of their papers we have counts for
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Local Casimir Effect for a Scalar Field in Presence of a Point Impurity
Davide Fermi, Livio Pizzocchero
The Casimir effect for a scalar field in presence of delta-type potentials has been investigated for a long time in the case of surface delta functions, modelling semi-transparent…
Local zeta regularization and the scalar Casimir effect IV. The case of a rectangular box
Davide Fermi, Livio Pizzocchero
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 observable…
Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential
Davide Fermi, Livio Pizzocchero
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 (a…
Local zeta regularization and the scalar Casimir effect II. Some explicitly solvable cases
Davide Fermi, Livio Pizzocchero
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 P…
Local zeta regularization and the scalar Casimir effect I. A general approach based on integral kernels
Davide Fermi, Livio Pizzocchero
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…
Local zeta regularization and the Casimir effect
Davide Fermi, Livio Pizzocchero
In this paper, whose aims are mainly pedagogical, we illustrate how to use the local zeta regularization to compute the stress-energy tensor of the Casimir effect. Our attention is…