 99321 Detlev Buchholz, Martin Florig, Stephen J. Summers
 An Algebraic Characterization of Vacuum States
in Minkowski Space, II: Continuity Aspects
(46K, latex)
Sep 2, 99

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Abstract. 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 wedgeshaped 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 relativistic quantum systems in Minkowski space
is encoded in the observables and
state and requires no prior assumption about any action
of the spacetime symmetry group upon these quantities.
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