Entanglement entropy due to near-horizon degrees of freedom
Department of Theoretical Sciences, S N Bose National Centre for Basic Sciences, 700098, Kolkata, India
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Revised: 6 June 2015
Accepted: 8 July 2015
Published online: 30 July 2015
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015