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An Infalling Observer and Behind the Horizon Cutoff
by Amin Akhavan and Mohsen Alishahiha
- Published as SciPost Phys. 7, 073 (2019)
|As Contributors:||Mohsen Alishahiha|
|Submitted by:||Alishahiha, Mohsen|
|Submitted to:||SciPost Physics|
|Subject area:||High-Energy Physics - Theory|
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.
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Published as SciPost Phys. 7, 073 (2019)
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 and Ref.