Modular conjugation for multicomponent regions
High Energy Physics - Theory
2023-04-24 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
We consider a massless Dirac field in dimensions, and compute the Tomita-Takesaki modular conjugation corresponding to the vacuum state and a generic multicomponent spacetime region. We do it by analytic continuation from the modular flow, which was computed recently. We use our result to discuss the validity of Haag duality in this model.
Cite
@article{arxiv.2209.10711,
title = {Modular conjugation for multicomponent regions},
author = {Nicolás Abate and David Blanco and Mateo Koifman and Guillem Pérez-Nadal},
journal= {arXiv preprint arXiv:2209.10711},
year = {2023}
}
Comments
20 pages, 10 figures