2013

Action and entanglement in gravity and field theory

Neiman, Yasha

Understand

In non-gravitational quantum field theory, the entanglement entropy across a surface depends on the short-distance regularization.

Quantum gravity should not require such regularization, and it's been conjectured that the entanglement entropy there is always given by the black hole entropy formula evaluated on the entangling surface.
We show that these statements have precise classical counterparts at the level of the action.
Specifically, we point out that the action can have a non-additive imaginary part.

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