Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential

DOI10.1142/S0217751X15502139zbMath1337.81109arXiv1505.01651OpenAlexW3106370614MaRDI QIDQ2806252

Davide Fermi, Livio Pizzocchero

Publication date: 17 May 2016

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01651

zbMATH Keywords

renormalizationzeta regularizationlocal Casimir effect

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Methods of quantum field theory in general relativity and gravitational theory (83C47) Casimir effect in quantum field theory (81T55)

Related Items

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) ⋮ Local zeta regularization and the scalar Casimir effect IV: The case of a rectangular box ⋮ The Casimir energy anomaly for a point interaction

Uses Software

• DLMF

Cites Work

• The current density in quantum electrodynamics in external potentials
• Heat kernels for elliptic and sub-elliptic operators. Methods and techniques
• Local zeta regularization and the scalar Casimir effect IV: The case of a rectangular box
• Local Zeta Regularization and the Casimir Effect
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