Oct 6 – 10, 2025
EIMI
Europe/Moscow timezone

Casimir energy of a scalar field rotating on a disk

Oct 7, 2025, 5:00 PM
20m
Main hall

Main hall

Session talk Section A: Mathematical methods in QFT Section A: Mathematical methods in QFT

Speaker

Irina Pirozhenko (BLTP JINR)

Description

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 transformation from a rest frame to rotating frame. 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.

Authors

Irina Pirozhenko (BLTP JINR) Michael Bordag (BLTP JINR)

Presentation materials