A Rotating Quantum Vacuum

Abstract

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.

31 pages, LaTex (Revised version!)

References in corpus (1)

• Traversable wormholes: the Roman ring

Cited by in corpus (13)

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• Unruh and analogue Unruh temperatures for circular motion in 3+1 and 2+1 dimensions
• Edge states and thermodynamics of rotating relativistic fermions under magnetic field
• The Zilch Vortical Effect
• Spontaneous excitation of an atom in a Kerr spacetime
• The Rotating Detector and Vacuum Fluctuations
• Radiative Processes of Entangled Detectors in Rotating Frames
• Particle detectors, geodesic motion, and the equivalence principle
• On the thermodynamics of moving bodies
• The Unruh Effect for Eccentric Uniformly Rotating Observers
• Generation of a scalar vortex in a rotational frame
• The power spectrum of the circular noise
• Hawking-like radiation of charged particles via tunneling across the lightcylinder of a rotating magnetosphere