Description:
<jats:p>Given two quasilocal C*-algebras A and B of relativistic quantum field theory, their state spaces E(A) and E(B), and a positive, unit preserving map L: B→A respecting the relativistic quasilocal structure of A and B, (B,E(B)) is said to be a local hidden theory of (A,E(A)) via L if for every state φ in E(A) the state L*φ∈E(B) can be decomposed in E(B) via a subcentral measure into states with pointwise strictly less dispersion than the dispersion of φ. It is shown that if there is a unique, locally normal, locally faithful, analytic vacuum state in E(A) then (A,E(A)) cannot have a local hidden theory (B,E(B)) via L. This improves the result obtained in J. Math. Phys. 28, 833 (1987).</jats:p>