Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-01-24
Phys.Rev.D75:065006,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, 9 figures, one paragraph added, version accepted in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.75.065006
We consider two-level detectors coupled to a scalar field and moving on arbitrary trajectories in Minkowski space-time. We first derive a generic expression for the response function using a (novel) regularization procedure based on the Feynmann prescription that is explicitly causal, and we compare it to other expressions used in the literature. We then use this expression to study, analytically and numerically, the time dependence of the response function in various non-stationarity situations. We show that, generically, the response function decreases like a power in the detector's level spacing, $E$, for high $E$. It is only for stationary world-lines that the response function decays faster than any power-law, in keeping with the known exponential behavior for some stationary cases. Under some conditions the (time dependent) response function for a non-stationary world-line is well approximated by the value of the response function for a stationary world-line having the same instantaneous acceleration, torsion, and hyper-torsion. While we cannot offer general conditions for this to apply, we discuss special cases; in particular, the low energy limit for linear space trajectories.
Milgrom Mordehai
Obadia Nathaniel
No associations
LandOfFree
Unruh Effect for General Trajectories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Unruh Effect for General Trajectories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unruh Effect for General Trajectories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-603306