Nuclearity and split for thermal quantum field theories
High Energy Physics - Theory
2007-05-23 v3
Abstract
We review the heuristic arguments suggesting that any thermal quantum field theory, which can be interpreted as a quantum statistical mechanics of (interacting) relativistic particles, obeys certain restrictions on its number of local degrees of freedom. As in the vacuum representation, these restrictions can be expressed by a `nuclearity condition'. If a model satisfies this nuclearity condition, then the net of von Neumann algebras representing the local observables in the thermal representation has the split property.
Cite
@article{arxiv.hep-th/9811227,
title = {Nuclearity and split for thermal quantum field theories},
author = {Christian Jaekel},
journal= {arXiv preprint arXiv:hep-th/9811227},
year = {2007}
}
Comments
plain tex, 29 pages; heuristic arguments leading to the nuclearity conditon revised