Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field
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 ti...
| Main Authors: | , , , |
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| Format: | Article |
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American Physical Society
2017
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| Online Access: | https://eprints.nottingham.ac.uk/43837/ |
| _version_ | 1848796778334257152 |
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| author | Zhou, L.J. Carrington, Margaret E. Kunstatter, Gabor Louko, Jorma |
| author_facet | Zhou, L.J. Carrington, Margaret E. Kunstatter, Gabor Louko, Jorma |
| author_sort | Zhou, L.J. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:53:23Z |
| format | Article |
| id | nottingham-43837 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:53:23Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-438372024-08-15T15:22:26Z https://eprints.nottingham.ac.uk/43837/ Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field Zhou, L.J. Carrington, Margaret E. Kunstatter, Gabor Louko, Jorma 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. American Physical Society 2017-04-15 Article PeerReviewed Zhou, L.J., Carrington, Margaret E., 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 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.085007 doi:10.1103/PhysRevD.95.085007 doi:10.1103/PhysRevD.95.085007 |
| spellingShingle | Zhou, L.J. Carrington, Margaret E. Kunstatter, Gabor Louko, Jorma Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field |
| title | Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field |
| title_full | Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field |
| title_fullStr | Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field |
| title_full_unstemmed | Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field |
| title_short | Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field |
| title_sort | smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field |
| url | https://eprints.nottingham.ac.uk/43837/ https://eprints.nottingham.ac.uk/43837/ https://eprints.nottingham.ac.uk/43837/ |