Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field

Zhou, L.J. and Carrington, Margaret E. and Kunstatter, Gabor and Louko, Jorma (2017) Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field. Physical Review D, 95 (8). 085007. ISSN 2470-0029

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Abstract

We analyze the smooth and sharp creation of a pointlike source for a quantized massless scalar field in (3+1)-dimensional Minkowski spacetime, as a model for the breakdown of correlations that has been proposed to occur at the horizon of an evaporating black hole. The creation is implemented by a time-dependent self-adjointness parameter at the excised spatial origin. In a smooth creation, the renormalized energy density <T00> is well defined away from the source, but it is unbounded both above and below: the outgoing pulse contains an infinite negative energy, while a cloud of infinite positive energy lingers near the fully-formed source. In the sharp creation limit, <T00> diverges everywhere in the timelike future of the creation event, and so does the response of an Unruh-DeWitt detector that operates in the timelike future of the creation event. The source creation is significantly more singular than the corresponding process in 1 + 1 dimensions, analyzed previously, and it may be sufficiently singular to break quantum correlations as proposed in a black hole spacetime.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1103/PhysRevD.95.085007
Depositing User: Eprints, Support
Date Deposited: 28 Jun 2017 10:44
Last Modified: 28 Jun 2017 11:19
URI: http://eprints.nottingham.ac.uk/id/eprint/43837

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