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arXiv · hep-th/0005171

The Rotating Detector and Vacuum Fluctuations

V. A. De Lorenci·R. D. M. De Paola·N. F. Svaiter
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Abstract

In this work we compare the quantization of a massless scalar field in an inertial frame with the quantization in a rotating frame. We used the Trocheries-Takeno mapping to relate measurements in the inertial and the rotating frames. An exact solution of the Klein-Gordon equation in the rotating coordinate system is found and the Bogolubov transformation between the inertial and rotating modes is calculated, showing that the rotating observer defines a vacuum state different from the Minkowski one. We also obtain the response function of an Unruh-De Witt detector coupled with the scalar field travelling in a uniformly rotating world-line. The response function is obtained for two different situations: when the quantum field is prepared in the usual Minkowski vacuum state and when it is prepared in the Trocheries-Takeno vacuum state. We also consider the case of an inertial detector interacting with the field in the rotating vacuum.

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V. A. De Lorenci, R. D. M. De Paola, N. F. Svaiter. 2000-10-19. The Rotating Detector and Vacuum Fluctuations. https://doi.org/10.1088/0264-9381%2F17%2F20%2F306

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