2014

Renyi entropy, stationarity, and entanglement of the conformal scalar

Lee, Jeongseog, Lewkowycz, Aitor, Perlmutter, Eric et al.

Understand

We extend previous work on the perturbative expansion of the Renyi entropy, $S_q$, around $q=1$ for a spherical entangling surface in a general CFT.

Applied to conformal scalar fields in various spacetime dimensions, the results appear to conflict with the known conformal scalar Renyi entropies.
On the other hand, the perturbative results agree with known Renyi entropies in a variety of other theories, including theories of free fermions and vector fields and theories with Einstein gravity duals.
We propose a resolution stemming from a careful consideration of boundary conditions near the entangling surface.

Built on

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