On the Casimir effect with \(\delta \)-like potentials, and a recent paper by K. Ziemian (Ann. Henri Poincaré, 2021)

DOI10.1007/s00023-022-01263-0OpenAlexW4313480419MaRDI QIDQ6101127

Publication date: 20 June 2023

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-022-01263-0

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Zeta and (L)-functions: analytic theory (11Mxx) Unified, higher-dimensional and super field theories (83Exx)

Cites Work

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Global versus local Casimir effect
A new improved energy-momentum tensor.
Quantum backreaction (Casimir) effect. II: Scalar and electromagnetic fields
Zeta function regularization of path integrals in curved spacetime
Relative zeta functions, relative determinants and scattering theory
Local \(\zeta\)-function techniques vs. point-splitting procedure: A few rigorous results
Fundamental solution of the heat and Schrödinger equations with point interaction
Algebraic approach to Casimir force between two \(\delta\)-like potentials
A mathematical analysis of Casimir interactions. I: The scalar field
A second-quantized Kolmogorov-Chentsov theorem via the operator product expansion
Finite temperature quantum field theory on noncompact domains and application to delta interactions
Local Casimir effect for a scalar field in presence of a point impurity
Quantum backreaction (Casimir) effect. I: What are admissible idealizations?
Local zeta regularization and the scalar Casimir effect IV: The case of a rectangular box
Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential
Local Zeta Regularization and the Casimir Effect
On the stress–energy tensor of quantum fields in curved spacetimes—comparison of different regularization schemes and symmetry of the Hadamard/Seeley–DeWitt coefficients
Quantum Field Theory in Curved Spacetime
One-loop stress-tensor renormalization in curved background: The relation between ζ-function and point-splitting approaches, and an improved point-splitting procedure
Determinant relatif et la fonction XI
Local Zeta Regularization and the Scalar Casimir Effect
DYNAMICS OF THE SCALAR FIELD IN FIVE-DIMENSIONAL KALUZA–KLEIN THEORY
The Casimir energy anomaly for a point interaction
Singular perturbations with boundary conditions and the Casimir effect in the half space
Relative partition function of Coulomb plus delta interaction
A Generalization of Epstein Zeta Functions
Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

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