| Issue |
EPL
Volume 150, Number 5, June 2025
|
|
|---|---|---|
| Article Number | 52001 | |
| Number of page(s) | 7 | |
| Section | Mathematical and interdisciplinary physics | |
| DOI | https://doi.org/10.1209/0295-5075/add806 | |
| Published online | 06 June 2025 | |
Casimir effect for scalar field rotating on a disk(a)
1 Bogoljubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research 141980 Dubna, Russian Federation
2 Institute for Theoretical Physics, University Leipzig, IPF 231101 - D-04081 Leipzig, Germany
3 Dubna State University - Universitetskaya str., 19, 141986 Dubna, Russian Federation
Received: 28 March 2025
Accepted: 13 May 2025
We compute the vacuum energy of a scalar field rotating with angular velocity Ω on a disk of radius R and with Dirichlet boundary conditions. The rotation is introduced by a metric obtained by a Galilean transformation from a rest frame. The constraint 
must be obeyed to maintain causality. To compute the vacuum energy, we use an imaginary frequency representation and the well-known uniform asymptotic expansion of the Bessel function. We use the zeta-functional regularization and separate the divergent contributions, which we discuss in terms of the heat kernel coefficients. The divergences are found to be independent of rotation. The renormalized finite part of the vacuum energy is negative and becomes more negative for larger rotation frequencies.
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