Short-distance regularity of Green's function and UV divergences in entanglement entropy
High Energy Physics - Theory
2014-11-21 v1 Statistical Mechanics
General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1008.0777,
title = {Short-distance regularity of Green's function and UV divergences in entanglement entropy},
author = {Dmitry Nesterov and Sergey N. Solodukhin},
journal= {arXiv preprint arXiv:1008.0777},
year = {2014}
}
Comments
LaTeX, 6 pages