Local Zeta Regularization and the Scalar Casimir Effect

DOI10.1142/10570zbMath1381.81003arXiv1505.00711OpenAlexW4236228323MaRDI QIDQ4593775

Davide Fermi, Livio Pizzocchero

Publication date: 23 November 2017

Full work available at URL: https://arxiv.org/abs/1505.00711

zbMATH Keywords

scalar fieldCasimir effectNeumann kernelintegral kernelszeta regularizationDirichlet (heat) kernelDirichlet-Neumann kernel

Mathematics Subject Classification ID

Dirichlet forms (31C25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to potential theory (31-01) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Inner product spaces and their generalizations, Hilbert spaces (46C99) Physics (00A79) Green's functions for elliptic equations (35J08) Heat kernel (35K08) Casimir effect in quantum field theory (81T55)

Related Items (5)

Local Casimir effect for a scalar field in presence of a point impurity ⋮ On the Casimir effect with \(\delta \)-like potentials, and a recent paper by K. Ziemian (Ann. Henri Poincaré, 2021) ⋮ Casimir effect in conformally flat spacetimes ⋮ Algebraic approach to Casimir force between two \(\delta\)-like potentials ⋮ The Casimir energy anomaly for a point interaction

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