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.
Casimir effect; delta-interactions; zeta regularization
Settore MAT/07 - Fisica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/736653
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