On the renormalization of entanglement entropy

Autor: Jin-Yi Pang, Jiunn-Wei Chen
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: AAPPS Bulletin, Vol 31, Iss 1, Pp 1-7 (2021)
Druh dokumentu: article
ISSN: 2309-4710
DOI: 10.1007/s43673-021-00032-1
Popis: 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.
Databáze: Directory of Open Access Journals