Firewall from Effective Field Theory
For an effective field theory in the background of an evaporating black hole with spherical symmetry, we consider non-renormalizable interactions and their relevance to physical effects. The background geometry is determined by the semi-classical Einstein equation for an uneventful horizon where the...
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MDPI AG
2021-07-01
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Online Access: | https://www.mdpi.com/2218-1997/7/7/241 |
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author | Pei-Ming Ho Yuki Yokokura |
author_facet | Pei-Ming Ho Yuki Yokokura |
author_sort | Pei-Ming Ho |
collection | DOAJ |
description | For an effective field theory in the background of an evaporating black hole with spherical symmetry, we consider non-renormalizable interactions and their relevance to physical effects. The background geometry is determined by the semi-classical Einstein equation for an uneventful horizon where the vacuum energy–momentum tensor is small for freely falling observers. Surprisingly, after Hawking radiation appears, the transition amplitude from the Unruh vacuum to certain multi-particle states grows exponentially with time for a class of higher-derivative operators after the collapsing matter enters the near-horizon region, despite the absence of large curvature invariants. Within the scrambling time, the uneventful horizon transitions towards a firewall, and eventually the effective field theory breaks down. |
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format | Article |
id | doaj.art-e7edd5e11ee24549a0bcbb1aa37b326d |
institution | Directory Open Access Journal |
issn | 2218-1997 |
language | English |
last_indexed | 2024-03-10T09:21:13Z |
publishDate | 2021-07-01 |
publisher | MDPI AG |
record_format | Article |
series | Universe |
spelling | doaj.art-e7edd5e11ee24549a0bcbb1aa37b326d2023-11-22T05:11:40ZengMDPI AGUniverse2218-19972021-07-017724110.3390/universe7070241Firewall from Effective Field TheoryPei-Ming Ho0Yuki Yokokura1Department of Physics and Center for Theoretical Physics, National Taiwan University, Taipei 10617, TaiwaniTHEMS Program, RIKEN, Wako, Saitama 351-0198, JapanFor an effective field theory in the background of an evaporating black hole with spherical symmetry, we consider non-renormalizable interactions and their relevance to physical effects. The background geometry is determined by the semi-classical Einstein equation for an uneventful horizon where the vacuum energy–momentum tensor is small for freely falling observers. Surprisingly, after Hawking radiation appears, the transition amplitude from the Unruh vacuum to certain multi-particle states grows exponentially with time for a class of higher-derivative operators after the collapsing matter enters the near-horizon region, despite the absence of large curvature invariants. Within the scrambling time, the uneventful horizon transitions towards a firewall, and eventually the effective field theory breaks down.https://www.mdpi.com/2218-1997/7/7/241black holeinformation loss paradoxeffective theory |
spellingShingle | Pei-Ming Ho Yuki Yokokura Firewall from Effective Field Theory Universe black hole information loss paradox effective theory |
title | Firewall from Effective Field Theory |
title_full | Firewall from Effective Field Theory |
title_fullStr | Firewall from Effective Field Theory |
title_full_unstemmed | Firewall from Effective Field Theory |
title_short | Firewall from Effective Field Theory |
title_sort | firewall from effective field theory |
topic | black hole information loss paradox effective theory |
url | https://www.mdpi.com/2218-1997/7/7/241 |
work_keys_str_mv | AT peimingho firewallfromeffectivefieldtheory AT yukiyokokura firewallfromeffectivefieldtheory |