The rotating detector and vacuum fluctuations

In this work we compare the quantization of a massless scalar field in an i nertial frame with the quantization in a rotating frame. We used the Troche ries-Takeno mapping to relate measurements in the inertial and the rotating frames. An exact solution of the Klein-Gordon equation in the rotating coo rdinate system is found and the Bogolubov transformation between the inerti al and rotating modes is calculated, showing that the rotating observer def ines a vacuum state different from the Minkowski one. We also obtain the re sponse function of an Unruh-De Witt detector coupled with the scalar field travelling in a uniformly rotating worldline. The response function is obta ined for two different situations: when the quantum field is prepared in th e usual Minkowski vacuum state and when it is prepared in the Trocheries-Ta keno vacuum state. We also consider the case of an inertial detector intera cting with the field in the rotating vacuum.