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How often does the Unruh-DeWitt detector click? Regularisation by a spatial profile

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arxiv gr-qc/0606067 v3 pith:RYOBL25O submitted 2006-06-15 gr-qc hep-th

classification gr-qchep-th
keywords profileratespatialtransitiondetectorunruh-dewittacceleratedacceleration
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Corrections to the Unruh Effect from Robin Boundary Conditions in Punctured Minkowski Spacetime

    hep-th 2026-08 accept novelty 6.0 of 10

    The boundary-induced correction to the accelerated-detector response in punctured Minkowski spacetime is computed exactly, proven absolutely integrable with an O(1) long-time limit for finite Robin parameter beta, and...

  2. Ringdown modulation of acceleration radiation in the Schwarzschild background

    gr-qc 2025-11 reject novelty 5.0 of 10

    Near a Schwarzschild horizon, a quadrupolar quasinormal ringdown is claimed to modulate the detector detailed-balance exponent by a decaying sinusoid at the QNM frequency, at first order in the perturbation amplitude.

  3. Delay-Independent Stability of Nonlinear Delay Differential Equations via Isospectral Reduction

    math.DS 2025-08 unverdicted novelty 5.0 of 10

    Claims a delay-independent global exponential stability criterion for a broad class of nonlinear nonautonomous delay differential equations using isospectral reduction of an associated sequence of matrices.

  4. Rethinking quantum information in gravity and fields

    hep-th 2026-06 unverdicted novelty 2.0 of 10

    The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.

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