Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the entanglement across a cubic interface in 3+1 dimensions   We calculate the area, edge and corner Renyi entanglement entropies in the
ground state of the transverse-field Ising model, on a simple-cubic lattice, by
high-field and low-field series expansions. We find that while the area term is
positive and the line term is negative as required by strong subadditivity, the
corner contributions are positive in 3-dimensions. Analysis of the series
suggests that the expansions converge up to the physical critical point from
both sides. The leading area-law Renyi entropies match nicely from the high and
low field expansions at the critical point, forming a sharp cusp there. We
calculate the coefficients of the logarithmic divergence associated with the
corner entropy and compare them with conformal field theory results with smooth
interfaces and find a striking correspondence.

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The categories of this paper are: eess
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: econ
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: stat
29
The categories of this paper are: funct-an