Thermally correlated states in Loop Quantum Gravity

TL;DR

This paper introduces a class of loop quantum gravity states with thermal correlations that mimic features of quantum field theory vacuum, satisfying an analog of the Bisognano-Wichmann theorem and supporting a semiclassical interpretation.

Contribution

It presents a novel class of states in loop quantum gravity characterized by thermal correlations and explores their properties beyond the ultra-local limit.

Findings

States reproduce features of quantum field theory vacuum

States satisfy an analog of the Bisognano-Wichmann theorem

Correlations extend beyond ultra-local limit

Abstract

We study a class of loop-quantum-gravity states characterized by (ultra-local) thermal correlations that reproduce some features of the ultraviolet structure of the perturbative quantum field theory vacuum. In particular, they satisfy an analog of the Bisognano-Wichmann theorem. These states are peaked on the intrinsic geometry and admit a semiclassical interpretation. We study how the correlations extend on the spin-network beyond the ultra local limit.