Vacuum Noise and Stress Induced by Uniform Acceleration

Abstract

This is a comprehensive account of a particular recent development concerning the thermal character inherent in the quantum field as viewed from a uniformly accelerated frame of reference. That is, the power spectrum of the vacuum noise (or the detector-response function) seen by a uniformly accelerated observer in flat spacetimes of arbitrary dimensions is investigated and is shown to exhibit the phenomenon of the apparent inversion of statistics in odd dimensions. Its relation to the thermalization theorem is clarified. Also discussed are the closely related phenomena occurring in the vacuum stress of the Rindler manifold and in the noise seen by a comoving observer in the de Sitter spacetime, as well as those associated with the circular motion in the flat spacetime.

Entanglement of Dirac fields in noninertial frames

“…The calculation of the Bogoliubov coefficients is straightforward, though lengthy and an exercise in special functions. Details can be found elsewhere [17,18,19]. For our purposes, the end result of such calculations yields a relationship between the Minkowski and Rindler creation and annihilation operators given by the Bogoliubov transformation…”

“…We can understand this in terms of our previous discussion of the time dependence of positive frequency Rindler modes in regions I and II. For a massless Dirac field a positive frequency Rindler mode has the form [19] ψ I+ k ∼ exp(ikζ − iωτ ) (for the scalar case see [15,17] …”

“…We note that the form of the Dirac particle vacuum for mode k in Eq. (15), which can be written as |0 k + = cos r 1 n=0 tan n r |n k + I |n −k − II , is complementary to the form of the Minkowski charged scalar vacuum for mode k, which is given by [3,17] …”

Spontaneous absorption of an accelerated hydrogen atom near a conducting plane in vacuum

“…In present case the dipole moment must be kept fixed with respect to the proper frame of reference of the atom, otherwise the rotation of the dipole moment will bring in extra time dependence in addition to the intrinsic time evolution [28].…”

Quantization of Scalar Fields in Curved Background and Quantum Algebras

“…This is the thermalization theorem, in a nutshell (for a review see [13]). The purpose of this paper is to show that, in the framework of the semiclassical theory of gravity, quantum algebras are suitable structures to quantize a scalar field in presence of a gravitational background.…”