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Entanglement Entropy in Spacetime: Covariance and Discreteness

Abstract: The covariant regularisation of entanglement entropy is integral to the possibility of it sourcing the Bekenstein-Hawking black hole entropy, and all horizon entropy. This regularisation ought to come from quantum gravity, which if covariant, should induce a regularisation scheme inappropriate for application over hypersurfaces, but instead suited to application over spacetime volumes. As such, the calculation of entanglement entropy should be similarly situated over spacetime volumes. I will explain how this can be done via a spectral equation using spacetime correlators, and briefly show an example calculation in causal set theory, a discrete theory of quantum gravity. There, a modified entanglement entropy scaling was obtained, due to the discreteness. This talk will be based off: https://can01.safelinks.protection.outlook.com/?url=https%3A%2F%2Farxiv.org%2Fabs%2F2602.16782&data=05%7C02%7Cyannick.kluth%40utoronto.ca%7Cde4ee4d2abea4125102f08deba8a0789%7C78aac2262f034b4d9037b46d56c55210%7C0%7C0%7C639153299226660612%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=M907zUMFSObo7JuzMRD0AnVNghFN0WsKdu39Nl7cHzE%3D&reserved=0.


Host: Yannick Kluth
Event series  THEP Events