# 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…

## 15 Citations

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