How often does the Unruh-DeWitt detector click? Regularisation by a spatial profile
摘要
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 a 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.
引用
@article{arxiv.gr-qc/0606067,
title = {How often does the Unruh-DeWitt detector click? Regularisation by a spatial profile},
author = {Jorma Louko and Alejandro Satz},
journal= {arXiv preprint arXiv:gr-qc/0606067},
year = {2009}
}
备注
30 pages, 1 figure. v3: Added references and minor clarifications