2006/09/17 by Jorma Louko, Alejandro Satz · 1 citation
Mathematics · Physics and Astronomy · #Acceleration #Advanced Thermodynamics and Statistical Mechanics #Field (mathematics) #Function (biology) #Limit (mathematics) #Lorentz transformation #Mathematical analysis #Mathematics #Minkowski space #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Statistical physics #Unruh effect #Zero (linguistics) #gr-qc #hep-th
paper · pdf · doi:10.1088/1742-6596/68/1/012014
published as J.Phys.Conf.Ser.68:012014,2007 · 7 pages, uses jpconf. Talk given at NEB XII (Nafplio, Greece, 29 June - 2 July 2006)
arxiv created 2006/09/17 · openalex publication_date 2007/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The instantaneous transition rate of an arbitrarily accelerated Unruh–DeWitt particle detector on four-dimensional Minkowski space is ill defined without regularisation. We show that Schlicht's regularisation as the zero-size limit of a Lorentz-function spatial profile yields a manifestly well-defined transition rate with physically reasonable asymptotic properties. In the special case of stationary trajectories, including uniform acceleration, we recover the results that have been previously obtained by a regularisation that relies on the stationarity. Finally, we discuss evidence for the conjecture that the zero-size limit of the transition rate is independent of the detector profile.