The Casimir energy anomaly for a point interaction
Davide Fermi (Univ. di Milano)
TL;DR
This paper investigates the Casimir energy in the presence of a point interaction, revealing an infinite anomalous boundary term that persists even after renormalization, highlighting a fundamental anomaly.
Contribution
It introduces a zeta-regularization approach to analyze Casimir energy with point interactions and uncovers an intrinsic infinite boundary anomaly.
Findings
Identification of an infinite boundary anomaly in Casimir energy
Demonstration of the anomaly's persistence after renormalization
Discussion of the anomaly's intrinsic nature
Abstract
The Casimir energy for a massless, neutral scalar field in presence of a point interaction is analyzed using a general zeta-regularization approach developed in earlier works. In addition to a regular bulk contribution, there arises an anomalous boundary term which is infinite despite renormalization. The intrinsic nature of this anomaly is briefly discussed.
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