A Rotating Quantum Vacuum

Details A Rotating Quantum Vacuum A Rotating Quantum Vacuum

1996-11-29

arxiv.org/abs/hep-th/9612006v3

Found.Phys.29:1233-1264,1999

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, LaTex (Revised version!)

Scientific paper

10.1023/A:1018807714794

We investigate how a uniformly rotating frame is defined as the rest frame of an observer rotating with constant angular velocity $\Omega$ around the $z$ axis of an inertial frame. Assuming that this frame is a Lorentz one, we second quantize a free massless scalar field in this rotating frame and obtain that creation-anihilation operators of the field are not the same as those of an inertial frame. This leads to a new vacuum state --- a rotating vacuum --- which is a superposition of positive and negative frequency Minkowski particles. After this, introducing an apparatus device coupled linearly with the field we obtain that there is a strong correlation between number of rotating particles (in a given state) obtained via canonical quantization and via response function of the rotating detector. Finally, we analyse polarization effects in circular accelerators in the proper frame of the electron making a connection with the inertial frame point of view.

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