A Rotating Quantum Vacuum

  title={A Rotating Quantum Vacuum},
  author={V. A. De Lorenci and Nami F. Svaiter},
  journal={Foundations of Physics},
We investigate how a uniformly rotating frame is defined as the rest frame of an observer rotating with constant angular velocity Ω around the z axis of an inertial frame. Assuming this frame to be a Lorentz one, we second quantize a free massless scalar field in the rotating frame and obtain that creation-annihilation operators of the field are not the same as those of an inertial frame. This leads to a new vacuum state—a rotating vacuum. After this, introducing an apparatus device coupled… Expand
The rotating detector and vacuum fluctuations
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 theExpand
A rotating vacuum and a quantum version of Newton's bucket experiment
In this work we consider a quantum analogue of Newton's bucket experiment in a flat spacetime: we take a Unruh-DeWitt detector in interaction with a real massless scalar field. We calculate theExpand
Dirac fermions on rotating space-times
Quantum states of Dirac fermions at zero or finite temperature are investigated using the point-splitting method in Minkowski and anti-de Sitter space-times undergoing rotation about a fixed axis.Expand
Particle detectors, geodesic motion and the equivalence principle
It is shown that quantum particle detectors are not reliable probes of spacetime structure. In particular, they fail to distinguish between inertial and non-inertial motion in a general spacetime. ToExpand
Zilch vortical effect
We study the question of whether a helicity-transporting current is generated in a rotating photon gas at finite temperature. One problem is that there is no gauge-invariant local notion of helicityExpand
Rotating Unruh-DeWitt Detector in Minkowski Vacuum
Response of a circularly rotating Unruh-DeWitt detector to the Minkowski vacuum is investigated. What the detector observes depends on the surface (three volume) to define it by the Hamiltonian.Expand
Edge states and thermodynamics of rotating relativistic fermions under magnetic field
We discuss free Dirac fermions rotating uniformly inside a cylindrical cavity in the presence of background magnetic field parallel to the cylinder axis. We show that in addition to the known bulkExpand
Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions
In order to avoid unphysical causality-violating effects any rigidly rotating system must be bounded in directions transverse to the axis of rotation. We demonstrate that this requirement impliesExpand
Advances in the proposed electromagnetic zero-point field theory of inertia
A NASA-funded research effort has been underway at the Lockheed Martin Advanced Technology Center in Palo Alto and at California State University in Long Beach to develop and test a recentlyExpand
The Unruh effect for eccentric uniformly rotating observers
It is common to use Galilean rotational transformation (GRT) to investigate the Unruh effect for uniformly rotating observers. However, the rotating observer in this subject is an eccentric observerExpand


We investigate how a uniformly rotating frame is defined as the rest frame of an observer rotating with constant angular velocity Ω around the z axis of an inertial frame. Assuming that this frame isExpand
Rotating frames in special relativity
A uniformly rotating frame is defined as the rest frame of a particle revolving with constant velocityω in a circle about theZ-axis of an inertial frame Σ0. Under the conditionz=Z,r=R, theoreticalExpand
Quantized scalar field in rotating coordinates
Second quantization of the free scalar field is carried out in rotating coordinates and the spectrum of vacuum fluctuations is calculated for an orbiting observer using these coordinates. Normal-modeExpand
Remarks on positive frequency and hamiltonians in expanding universes
We examine critically the persistent belief that the physical interpretation of a quantum field theory in curved space-time is to be found by introducing a notion of particles at each time in termsExpand
Quantum Fields in Curved Space
This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black holeExpand
Notes on 'particle detectors'
The authors examine the theory of 'particle detectors' in quantum field theory on curved space-times. The historical background of the subject is discussed and then an example is given to show thatExpand
METHODOLOGICAL NOTES: Vacuum in a homogeneous gravitational field and excitation of a uniformly accelerated detector
The theory of quantum effects in uniformly accelerated frames of reference and in a homogeneous gravitational field is discussed. Ways of describing processes of excitation of, and radiation from, aExpand
Einstein's theory in a three-dimensional space-time
As a preparation for studying quantum models, we analyze unusual features of Einstein's theory of gravitation in a three-dimensional space-time. In three dimensions, matter curves space-time onlyExpand
On Understanding Spin-Flip Synchrotron Radiation and the Transverse Polarization of Electrons in Storage Rings
A mainly didactic discussion is given of the mechanism for the gradual build up of transverse polarization of electrons and positrons in storage rings. The history and basic results are reviewedExpand
Classical and quantum scattering on a spinning cone
Solutions are presented for the Klein-Gordon and Dirac equations in the 2+1 dimensional space-time created by a massive point particle, with arbitrary angular momentum. A universal formula for theExpand