For the Department of Shameless Self-Promotion
How often does the Unruh-DeWitt detector click? Regularisation by a spatial profile
Authors: Jorma Louko, Alejandro Satz
Comments: 28 pages, 1 figure
We analyse within first-order perturbation theory the instantaneous transition rate of an accelerated Unruh-DeWitt particle detector whose coupling to a massless scalar field on four-dimensional Minkowski space is regularised by a spatial profile. For the Lorentzian profile introduced by Schlicht, the zero size limit is computed explicitly and expressed as manifestly finite integral formula that no longer involves regulators or limits. The same transition rate is obtained for an arbitrary profile of compact support under a modified definition of spatial smearing. Consequences for the asymptotic behaviour of the transition rate are discussed. A number of stationary and nonstationary trajectories are analysed, recovering in particular the Planckian spectrum for uniform acceleration.
If you want to know what this is about without reading the paper, I wrote a couple of months ago a (rather) nontechnical explanation of my area of research (here), and a more technical summary of what my paper was to be about (here). Feedback from readers of the paper, and even suggestions for improvements (as it has not been sent for peer-review yet) are most welcome.