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Entanglement entropy for the n-sphere · Around

2010

Entanglement entropy for the n-sphere

Casini, H., Huerta, M.

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We calculate the entanglement entropy for a sphere and a massless scalar field in any dimensions.

The reduced density matrix is expressed in terms of the infinitesimal generator of conformal transformations keeping the sphere fixed.
The problem is mapped to the one of a thermal gas in a hyperbolic space and solved by the heat kernel approach.
The coefficient of the logarithmic term in the entropy for 2 and 4 spacetime dimensions are in accordance with previous numerical and analytical results.

Built on

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