On the renormalization of entanglement entropy
In: AAPPS Bulletin, Jg. 31 (2021), Heft 1, S. 1-7
Online
academicJournal
Zugriff:
Abstract The renormalization of entanglement entropy of quantum field theories is investigated in the simplest setting with a λ ϕ 4 scalar field theory. The 3+1 dimensional spacetime is separated into two regions by an infinitely flat 2-dimensional interface. The entanglement entropy of the system across the interface has an elegant geometrical interpretation using the replica trick, which requires putting the field theory on a curved spacetime background. We demonstrate that the theory, and hence the entanglement entropy, is renormalizable at order λ once all the relevant operators up to dimension 4 are included in the action. This exercise has a one-to-one correspondence to entanglement entropy interpretation of the black hole entropy which suggests that our treatment is sensible. Our study suggests that entanglement entropy is renormalizable and is a physical quantity.
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On the renormalization of entanglement entropy
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Autor/in / Beteiligte Person: | Pang, Jin-Yi ; Chen, Jiunn-Wei |
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Zeitschrift: | AAPPS Bulletin, Jg. 31 (2021), Heft 1, S. 1-7 |
Veröffentlichung: | Springer, 2021 |
Medientyp: | academicJournal |
ISSN: | 2309-4710 (print) |
DOI: | 10.1007/s43673-021-00032-1 |
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