Mathematics – Operator Algebras
Scientific paper
2008-08-08
Annales Henri Poincare 10:485-511,2009
Mathematics
Operator Algebras
31 pages
Scientific paper
10.1007/s00023-009-0418-8
Given an inclusion $B \subset F$ of (graded) local nets, we analyse the structure of the corresponding inclusion of scaling limit nets $B_0 \subset F_0$, giving conditions, fulfilled in free field theory, under which the unicity of the scaling limit of $F$ implies that of the scaling limit of $B$. As a byproduct, we compute explicitly the (unique) scaling limit of the fixpoint nets of scalar free field theories. In the particular case of an inclusion $A \subset B$ of local nets with the same canonical field net $F$, we find sufficient conditions which entail the equality of the canonical field nets of $A_0$ and $B_0$.
Conti Roberto
Morsella Gerardo
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