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.
The Casimir energy anomaly for a point interaction / D. Fermi. - In: MODERN PHYSICS LETTERS A. - ISSN 0217-7323. - 35:3(2020 Jan 30). [10.1142/S0217732320400088]
The Casimir energy anomaly for a point interaction
D. Fermi
2020
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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