An infalling observer and behind the horizon cutoff

Using Papadodimas and Raju construction of operators describing the interior of a black hole, we present a general relation between partition functions of operators describing inside and outside the black hole horizon. In particular for an eternal black hole the partition function of the inter...

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Main Author: Amin Akhavan, Mohsen Alishahiha
Format: Article
Language:English
Published: SciPost 2019-12-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.7.6.073
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spelling doaj-10f2cc094e7d4e66b1df5afcfc1c3ac12020-11-25T00:12:14ZengSciPostSciPost Physics2542-46532019-12-017607310.21468/SciPostPhys.7.6.073An infalling observer and behind the horizon cutoffAmin Akhavan, Mohsen AlishahihaUsing Papadodimas and Raju construction of operators describing the interior of a black hole, we present a general relation between partition functions of operators describing inside and outside the black hole horizon. In particular for an eternal black hole the partition function of the interior modes may be given in terms those partition functions associated with the modes of left and right exteriors. By making use of this relation we observe that setting a finite UV cutoff will enforce us to have a cutoff behind the horizon whose value is fixed by the UV cutoff. The resultant cutoff is in agreement with what obtained in the context of holographic complexity.https://scipost.org/SciPostPhys.7.6.073
collection DOAJ
language English
format Article
sources DOAJ
author Amin Akhavan, Mohsen Alishahiha
spellingShingle Amin Akhavan, Mohsen Alishahiha
An infalling observer and behind the horizon cutoff
SciPost Physics
author_facet Amin Akhavan, Mohsen Alishahiha
author_sort Amin Akhavan, Mohsen Alishahiha
title An infalling observer and behind the horizon cutoff
title_short An infalling observer and behind the horizon cutoff
title_full An infalling observer and behind the horizon cutoff
title_fullStr An infalling observer and behind the horizon cutoff
title_full_unstemmed An infalling observer and behind the horizon cutoff
title_sort infalling observer and behind the horizon cutoff
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2019-12-01
description Using Papadodimas and Raju construction of operators describing the interior of a black hole, we present a general relation between partition functions of operators describing inside and outside the black hole horizon. In particular for an eternal black hole the partition function of the interior modes may be given in terms those partition functions associated with the modes of left and right exteriors. By making use of this relation we observe that setting a finite UV cutoff will enforce us to have a cutoff behind the horizon whose value is fixed by the UV cutoff. The resultant cutoff is in agreement with what obtained in the context of holographic complexity.
url https://scipost.org/SciPostPhys.7.6.073
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