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A Rotating Quantum Vacuum
High Energy Physics - Theory · Submitted 29 Nov 1996
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | background 0.59 | 0.35 | 0.03 | asserted 0.96 |
| s1 | 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. | method 0.63 | 0.91 | 0.14 | asserted 1.00 |
| s2 | This leads to a new vacuum state --- a rotating vacuum --- which is a superposition of positive and negative frequency Minkowski particles. | result 0.93 | 0.89 | 0.31 | asserted 1.00 |
| s3 | 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. | result 0.94 | 0.92 | 0.31 | asserted 1.00 |
| s4 | 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. | contribution 0.96 | 0.84 | 0.10 | asserted 0.93 |
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Original 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.
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