Abstract
In entanglement computations for a free scalar field with coupling to background curvature, there is a boundary term in the modular Hamiltonian which must be correctly specified in order to get sensible results. We focus here on the entanglement in flat space across a planar interface and (in the case of conformal coupling) other geometries related to this one by Weyl rescaling of the metric. For these “half-space entanglement” computations, we give a new derivation of the boundary term and revisit how it clears up a number of puzzles in the literature, including mass corrections and twist operator dimensions. We also discuss how related boundary terms may show up in other field theories.
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Herzog, C.P., Nishioka, T. The edge of entanglement: getting the boundary right for non-minimally coupled scalar fields. J. High Energ. Phys. 2016, 138 (2016). https://doi.org/10.1007/JHEP12(2016)138
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DOI: https://doi.org/10.1007/JHEP12(2016)138