Haag Duality in the Thermal Sector
Mathematical Physics
2026-02-24 v1 math.MP
Operator Algebras
Abstract
We prove that the net of localised von Neumann algebras associated with a real scalar field propagating on Minkowski spacetime, in the KMS representation, satisfies a generalised version of Haag duality. Our proof combines ideas from existing arguments for the ground-state representation with purification techniques.
Cite
@article{arxiv.2602.20006,
title = {Haag Duality in the Thermal Sector},
author = {Stefano Galanda and Leonardo Sangaletti},
journal= {arXiv preprint arXiv:2602.20006},
year = {2026}
}