Physics Group Meeting at IAS | Nima Lashkari, Member, School of Natural Sciences, IAS | “Recovering the QNEC from the ANEC”

Wed, Feb 6, 2019, 1:45 pm

I will go over the new proof of the quantum null energy condition (QNEC):
https://arxiv.org/abs/1812.04683

The proof uses tools and techniques from the modular theory. In particular, see Section 2.4 theorem B of Borchers notes:
https://www.mat.univie.ac.at/~esiprpr/esi773.pdf

An important concept for the proof is the so-called relative modular flow. 

For a definition of the relative modular operator see Edward's notes section 3.2:
https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.90.045003

An important property of the relative modular flow for us is V.2.41 and V.2.42 in Section V.2.3 of Haag's book "Local Quantum Physics".

You can find more information about it in Section 2.4 of https://arxiv.org/pdf/1811.05052.pdf .

Location: 
Bloomberg Hall Physics Library
Speaker(s):