An Algebraic Characterization of Vacuum States in Minkowski Space. II. Continuity Aspects

@article{Buchholz1999AnAC,
  title={An Algebraic Characterization of Vacuum States in Minkowski Space. II. Continuity Aspects},
  author={Detlev Buchholz and Martin Florig and Stephen J. Summers},
  journal={Letters in Mathematical Physics},
  year={1999},
  volume={49},
  pages={337-350}
}
An algebraic characterization of vacuum states in Minkowski space is given which relies on recently proposed conditions of geometric modular action and modular stability for algebras of observables associated with wedge-shaped regions. In contrast to previous work, continuity properties of these algebras are not assumed but derived from their inclusion structure. Moreover, a unique continuous unitary representation of spacetime translations is constructed from these data. Thus, the dynamics of… 

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