Seminar detail: Defining entanglement without tensor factoring: a Euclidean hourglass prescription

Date&Time	Tue Jul 26 2022 (17:00 - 18:00)
Speaker	Norihiro Iizuka
Affiliation	Osaka Univ.
Title	Defining entanglement without tensor factoring: a Euclidean hourglass prescription
Abstract	We consider entanglement across a planar or spherical boundary in flat space. Entanglement entropy is usually thought of as the von Neumann entropy of a reduced density matrix, but it can also be thought of as half the von Neumann entropy of a product of reduced density matrices on the left and right or inside and outside. The latter form allows a natural regulator in which two cones are smoothed into a Euclidean hourglass geometry. Since there is no need to tensor-factor the Hilbert space, the regulated entropy is manifestly gauge-invariant and has a manifest state-counting interpretation. We show how this prescription works for various non-trivial theories, including non-minimally coupled scalar theories and 4d Maxwell theory.
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