Nuclearity and split for thermal quantum field theories

Details Nuclearity and split for thermal quantum field theories Nuclearity and split for thermal quantum field theories

1998-11-26

arxiv.org/abs/hep-th/9811227v3

Physics

High Energy Physics

High Energy Physics - Theory

plain tex, 29 pages; heuristic arguments leading to the nuclearity conditon revised

Scientific paper

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.

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