Local Normality Properties of Some Infrared Representations

Mauro Spera, Sergio Doplicher

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Abstract

We consider the positive energy representations of the algebra of quasilocal observables for the free massless Majorana field described in preceding papers [1,2]. We show that by an appropriate choice of the (partially) occupied one particle modes we can find irreducible, type II_{\infty} or III_{\lambda} representations in this class which are unitarily equivalent to the vacuum representation when restricted to any forward light cone and disjoint from it when restricted to any backward light cone, or conversely. We give an elementary explicit proof of local normality of each representation in the above class.
Lingua originale English 19-25 7 Communications in Mathematical Physics 83 Pubblicato - 1983

Keywords

• algebraic quantum field theory, von Neumann algebras, infrared representations