Abstract
Assuming that the dominant contribution to the entropy due to entanglement across a spherical hypersurface comes from the near-horizon degrees of freedom, we analytically derive the entropy of a free massless scalar field in Minkowski spacetime across a spherical entangling surface. The resulting entanglement entropy is found to be proportional to the entangling surface as expected. A logarithmic subleading term with positive coefficient is also found through numerical computation. We have extended the analysis to higher dimensions as well.
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Ghosh, S. Entanglement entropy due to near-horizon degrees of freedom. Eur. Phys. J. Plus 130, 154 (2015). https://doi.org/10.1140/epjp/i2015-15154-9
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DOI: https://doi.org/10.1140/epjp/i2015-15154-9