Quantum vacuum, rotation, and nonlinear fields

• URL: http://arxiv.org/abs/2212.02776v1
• Date: Tue, 6 Dec 2022 06:13:22 GMT
• Title: Quantum vacuum, rotation, and nonlinear fields
• Authors: Antonino Flachi, Matthew Edmonds
• Abstract summary: We extend previous results on the quantum vacuum or Casimir energy, for a non-interacting rotating system and for an interacting non-rotating system. We consider the simultaneous effect of rotation and interactions, including an explicit breaking of rotational symmetry. Our work shows that the simultaneous inclusion of rotation and interactions produces nontrivial changes in the quantum vacuum energy.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we extend previous results on the quantum vacuum or Casimir energy, for a non-interacting rotating system and for an interacting non-rotating system, to the case where both rotation and interactions are present. Concretely, we first reconsider the non-interacting rotating case of a scalar field theory and propose an alternative and simpler method to compute the Casimir energy based on a replica trick and the Coleman-Weinberg effective potential. We then consider the simultaneous effect of rotation and interactions, including an explicit breaking of rotational symmetry, {and develop a numerical implementation of zeta-function regularization}. Our {work} recovers previous results as limiting cases and shows that the simultaneous inclusion of rotation and interactions produces nontrivial changes in the quantum vacuum energy. Besides expected changes (where, as the size of the ring increases for fixed interaction strength, the angular momentum grows with the angular velocity), we notice that the way rotation combines with coupling constant amplifies the intensity of interaction strength. Interestingly, we also observe a departure from the typical massless behavior where the Casimir energy is proportional to the inverse size of the ring.

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