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

2010/08/04 by Dmitry Nesterov, Sergey N. Solodukhin
Physics and Astronomy · #hep-th #cond-mat.stat-mech #gr-qc

paper · pdf · doi:10.1007/jhep09(2010)041

published as JHEP 1009:041,2010 · LaTeX, 6 pages

arxiv created 2010/08/04 · arxiv updated 2014/11/21

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.

Citations

• Gravitational effective action and entanglement entropy in UV modified theories with and without Lorentz symmetry
• Finite entanglement entropy from the zero-point area of spacetime