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The Casimir energy anomaly for a point interaction

Davide Fermi

Davide Fermi

Dipartimento di Matematica, Università di Milano, Via Saldini 50, I-20133 Milano, Italy

Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy

E-mail Address: davide.fermi@unimi.it

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https://doi.org/10.1142/S0217732320400088Cited by:4 (Source: Crossref)

This article is part of the issue:

Special Issue on Selected Papers from the Fourth International Symposium on the Casimir Effect, Peter the Great Saint Petersburg Polytechnic University, Saint Petersburg, Russia, 24–28 June 2019; Editors: V. M. Mostepanenko and E. N. Velichko

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.

Keywords:

PACS: 03.70.+k, 11.10.Gh, 03.65.Db

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