A correspondence between spectral properties of modular operators appearing in quantum field theory and the Hamiltonian is established. It allows to prove the "distal" split property for a wide class of models. Conversely, any model having this property is shown to satisfy the Haag-Swieca compactness criterion. The results lead to a new type of nuclearity condition which can be applied to quantum field theories on arbitrary space-time manifolds. © 1990 Springer-Verlag.
Buchholz, D., D'Antoni, C., Longo, R. (1990). Nuclear maps and modular structures II: Applications to quantum field theory. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 129(1), 115-138 [10.1007/BF02096782].
Nuclear maps and modular structures II: Applications to quantum field theory
LONGO, ROBERTO
1990-01-01
Abstract
A correspondence between spectral properties of modular operators appearing in quantum field theory and the Hamiltonian is established. It allows to prove the "distal" split property for a wide class of models. Conversely, any model having this property is shown to satisfy the Haag-Swieca compactness criterion. The results lead to a new type of nuclearity condition which can be applied to quantum field theories on arbitrary space-time manifolds. © 1990 Springer-Verlag.Questo articolo è pubblicato sotto una Licenza Licenza Creative Commons
