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How often does the Unruh–DeWitt detector click? Regularization by a spatial profile
Open accessAbstract
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 regularized 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.
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Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106
Quantum Fields in Curved Space
Birrell, N. D., & Davies, P. C. W. (1982) · doi:10.1017/cbo9780511622632 · Cited by 8,354
Metadata
- Authors
- Louko, J., & Satz, A.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2006-10-06
- Volume
- 23
- Issue
- 22
- Pages
- 6321-6343
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2149746339
- Cited by
- 185
- References
- 2
- FWCI
- 2.58
- Type
- journal article
- Language
- en
- Open access
- green
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- Louko, J., & Satz, A. (2006). How often does the Unruh–DeWitt detector click? Regularization by a spatial profile. Classical and Quantum Gravity. https://doi.org/10.1088/0264-9381/23/22/015
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