A note on "Algebraic approach to Casimir force between two -like potentials" (K. Ziemian, Ann. Henri Poincaré, Online First, 2021)
arXiv:2104.11029 · doi:10.1007/s00023-022-01263-0
Abstract
We comment on the recent work [1], and on its relations with our papers [2,3] cited therein. In particular we show that, contrarily to what stated in [1], the Casimir energy density determined therein in the case of a single delta-like singularity coincides with the energy density obtained previously in our paper [2] using a different approach.
arXiv comment6 pages
References in corpus (17)
- Local -function techniques vs point-splitting procedure: a few rigorous results
- On the Stress-Energy Tensor of Quantum Fields in Curved Spacetimes - Comparison of Different Regularization Schemes and Symmetry of the Hadamard/Seeley-DeWitt Coefficients
- Direct -function approach and renormalization of one-loop stress tensors in curved spacetimes
- One-loop stress-tensor renormalization in curved background: the relation between -function and point-splitting approaches, and an improved point-splitting procedure
- zeta-function regularization and one-loop renormalization of field fluctuations in curved space-times
- Casimir dynamics: Interactions of Surfaces with codimension >1 due to Quantum Fluctuations
- Gravity coupled to a scalar field in extra dimensions
- Local Casimir Effect for a Scalar Field in Presence of a Point Impurity
- Local zeta regularization and the Casimir effect
- Singular perturbations with boundary conditions and the Casimir effect in the half space
- A mathematical analysis of Casimir interactions I: The scalar field
- Local zeta regularization and the scalar Casimir effect IV. The case of a rectangular box
- Quantum backreaction (Casimir) effect I. What are admissible idealizations?
- Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential
- Quantum backreaction (Casimir) effect. II. Scalar and electromagnetic fields
- Global vs local Casimir effect
- The Casimir energy anomaly for a point interaction