Abstract
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.
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ArXiv ePrint: 1008.0777
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Nesterov, D., Solodukhin, S.N. Short-distance regularity of Green’s function and UV divergences in entanglement entropy. J. High Energ. Phys. 2010, 41 (2010). https://doi.org/10.1007/JHEP09(2010)041
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DOI: https://doi.org/10.1007/JHEP09(2010)041