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Short-distance regularity of Green’s function and UV divergences in entanglement entropy

Short-distance regularity of Green’s function and UV divergences in entanglement entropy,10.1007/JHEP09(2010)041,Journal of High Energy Physics,Dmitry

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Short-distance regularity of Green’s function and UV divergences in entanglement entropy   (Citations: 1)
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Reformulating our recent result (arXiv:1007.1246 [hep-th]) in coordinate space we point out that no matter how regular is short-distance behavior of Green’s function the entanglement entropy in the corresponding quantum field theory is always UV divergent. In particular, we discuss a recent example by Padmanabhan (arXiv:1007.5066 [gr-qc]) of a regular Green’s function and show that provided this function arises in a field theory the entanglement entropy in this theory is UV divergent and calculate the leading divergent term.
Journal: Journal of High Energy Physics - J HIGH ENERGY PHYS , vol. 2010, no. 9, pp. 1-6, 2010
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