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The effect of gravitational tidal forces on renormalized quantum fields

Timothy Hollowood Orcid Logo, Graham Shore

Journal of High Energy Physics, Volume: 2012, Issue: 2, Start page: 120

Swansea University Authors: Timothy Hollowood Orcid Logo, Graham Shore

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DOI (Published version): 10.1007/JHEP02(2012)120

Abstract

The effect of gravitational tidal forces on renormalized quantum fields propagating in curved spacetime is investigated and a generalisation of the optical the- orem to curved spacetime is proved. In the case of QED, the interaction of tidal forces with the vacuum polarization cloud of virtual e+e−...

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Published in: Journal of High Energy Physics
Published: Springer-Verlag 2012
URI: https://cronfa.swan.ac.uk/Record/cronfa7967
first_indexed 2013-07-23T11:59:54Z
last_indexed 2018-02-09T04:36:42Z
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spelling 2015-06-17T21:46:40.7048632 v2 7967 2012-02-22 The effect of gravitational tidal forces on renormalized quantum fields ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 28a24f55687c82d6f3ee378ead3cf234 Graham Shore Graham Shore true false 2012-02-22 BGPS The effect of gravitational tidal forces on renormalized quantum fields propagating in curved spacetime is investigated and a generalisation of the optical the- orem to curved spacetime is proved. In the case of QED, the interaction of tidal forces with the vacuum polarization cloud of virtual e+e− pairs dressing the renormalized photon has been shown to produce several novel phenomena. In particular, the photon field amplitude can locally increase as well as decrease, corresponding to a negative imaginary part of the refractive index, in apparent violation of unitarity and the op- tical theorem. Below threshold decays into e+e− pairs may also occur. In this paper, these issues are studied from the point of view of a non-equilibrium initial-value prob- lem, with the field evolution from an initial null surface being calculated for physically distinct initial conditions and for both scalar field theories and QED. It is shown how a generalised version of the optical theorem, valid in curved spacetime, allows a local in- crease in amplitude while maintaining consistency with unitarity. The picture emerges of the field being dressed and undressed as it propagates through curved spacetime, with the local gravitational tidal forces determining the degree of dressing and hence the amplitude of the renormalized quantum field. These effects are illustrated with many examples, including a description of the undressing of a photon in the vicinity of a black hole singularity. Journal Article Journal of High Energy Physics 2012 2 120 Springer-Verlag 23 2 2012 2012-02-23 10.1007/JHEP02(2012)120 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University 2015-06-17T21:46:40.7048632 2012-02-22T13:37:03.0000000 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Timothy Hollowood 0000-0002-3258-320X 1 Graham Shore 2
title The effect of gravitational tidal forces on renormalized quantum fields
spellingShingle The effect of gravitational tidal forces on renormalized quantum fields
Timothy Hollowood
Graham Shore
title_short The effect of gravitational tidal forces on renormalized quantum fields
title_full The effect of gravitational tidal forces on renormalized quantum fields
title_fullStr The effect of gravitational tidal forces on renormalized quantum fields
title_full_unstemmed The effect of gravitational tidal forces on renormalized quantum fields
title_sort The effect of gravitational tidal forces on renormalized quantum fields
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
28a24f55687c82d6f3ee378ead3cf234
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
28a24f55687c82d6f3ee378ead3cf234_***_Graham Shore
author Timothy Hollowood
Graham Shore
author2 Timothy Hollowood
Graham Shore
format Journal article
container_title Journal of High Energy Physics
container_volume 2012
container_issue 2
container_start_page 120
publishDate 2012
institution Swansea University
doi_str_mv 10.1007/JHEP02(2012)120
publisher Springer-Verlag
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 0
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description The effect of gravitational tidal forces on renormalized quantum fields propagating in curved spacetime is investigated and a generalisation of the optical the- orem to curved spacetime is proved. In the case of QED, the interaction of tidal forces with the vacuum polarization cloud of virtual e+e− pairs dressing the renormalized photon has been shown to produce several novel phenomena. In particular, the photon field amplitude can locally increase as well as decrease, corresponding to a negative imaginary part of the refractive index, in apparent violation of unitarity and the op- tical theorem. Below threshold decays into e+e− pairs may also occur. In this paper, these issues are studied from the point of view of a non-equilibrium initial-value prob- lem, with the field evolution from an initial null surface being calculated for physically distinct initial conditions and for both scalar field theories and QED. It is shown how a generalised version of the optical theorem, valid in curved spacetime, allows a local in- crease in amplitude while maintaining consistency with unitarity. The picture emerges of the field being dressed and undressed as it propagates through curved spacetime, with the local gravitational tidal forces determining the degree of dressing and hence the amplitude of the renormalized quantum field. These effects are illustrated with many examples, including a description of the undressing of a photon in the vicinity of a black hole singularity.
published_date 2012-02-23T06:16:12Z
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score 10.889219

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