# Towards entanglement entropy with UV cutoff in conformal nets

January 05, 2017

We consider the entanglement entropy for a spacetime region and its spacelike
complement in the framework of algebraic quantum field theory. For a M\"obius
covariant local net satisfying a certain nuclearity property, we consider the
von Neumann entropy for type I factors between local algebras and introduce an
entropic quantity. Then we implement a cutoff on this quantity with respect to
the conformal Hamiltonian and show that it remains finite as the distance of
two intervals tends to zero. We compare our definition to others in the
literature.

open access link

@article{Otani:2017pmn,
author = "Otani, Yul and Tanimoto, Yoh",
title = "{Toward Entanglement Entropy with UV-Cutoff in Conformal
Nets}",
journal = "Annales Henri Poincare",
volume = "19",
year = "2018",
number = "6",
pages = "1817-1842",
doi = "10.1007/s00023-018-0671-9",
eprint = "1701.01186",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:1701.01186;%%"
}

Keywords:

*none*