We discuss the Bisognano–Wichmann property for localPoincaré covariant nets of standard subspaces. We provide a sufficient algebraic condition on the covariant representation ensuring the Bisognano–Wichmann and the duality properties without further assumptions on the net. We call it modularity condition. It holds for direct integrals of scalar massive and massless representations. We present a class of massive modular covariant nets not satisfying the Bisognano–Wichmann property. Furthermore, we give an outlook on the relation between the Bisognano–Wichmann property and the split property in the standard subspace setting.

The Bisognano–Wichmann Property on Nets of Standard Subspaces, Some Sufficient Conditions / Morinelli, V.. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - 19:3(2018), pp. 937-958. [10.1007/s00023-017-0636-4]

The Bisognano–Wichmann Property on Nets of Standard Subspaces, Some Sufficient Conditions

Morinelli V.
2018

Abstract

We discuss the Bisognano–Wichmann property for localPoincaré covariant nets of standard subspaces. We provide a sufficient algebraic condition on the covariant representation ensuring the Bisognano–Wichmann and the duality properties without further assumptions on the net. We call it modularity condition. It holds for direct integrals of scalar massive and massless representations. We present a class of massive modular covariant nets not satisfying the Bisognano–Wichmann property. Furthermore, we give an outlook on the relation between the Bisognano–Wichmann property and the split property in the standard subspace setting.
2018
Quantum field theory; operator algebras; Bisognano-Wichmann property
01 Pubblicazione su rivista::01a Articolo in rivista
The Bisognano–Wichmann Property on Nets of Standard Subspaces, Some Sufficient Conditions / Morinelli, V.. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - 19:3(2018), pp. 937-958. [10.1007/s00023-017-0636-4]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1584852
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