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arXiv · 0808.1141

Scaling limit for subsystems and Doplicher-Roberts reconstruction

Roberto Conti·Gerardo Morsella
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Abstract

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 $B_0$.

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Roberto Conti, Gerardo Morsella. 2008-08-08. Scaling limit for subsystems and Doplicher-Roberts reconstruction. https://doi.org/10.1007/s00023-009-0418-8

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