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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Main Authors: Pei-Ming Ho, Yuki Yokokura
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Universe
Subjects:
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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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