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An Infalling Observer and Behind the Horizon Cutoff
by Amin Akhavan and Mohsen Alishahiha
This Submission thread is now published as
Submission summary
Authors (as registered SciPost users): | Mohsen Alishahiha |
Submission information | |
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Preprint Link: | scipost_201910_00014v2 (pdf) |
Date accepted: | 2019-11-22 |
Date submitted: | 2019-11-01 01:00 |
Submitted by: | Alishahiha, Mohsen |
Submitted to: | SciPost Physics |
Ontological classification | |
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Academic field: | Physics |
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Approach: | Theoretical |
Abstract
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.
Author comments upon resubmission
List of changes
To address the comments, two footnotes are added. footnote 3 and 5. Two papers are also added in the list of references. Ref[27] and Ref[28].
Published as SciPost Phys. 7, 073 (2019)