Abstract.
Given an inclusion \({\mathcal{B}} \subset {\mathcal{F}}\) of (graded) local nets, we analyse the structure of the corresponding inclusion of scaling limit nets \({\mathcal{B}}_{0} \subset {\mathcal{F}}_{0}\), giving conditions, fulfilled in free field theory, under which the unicity of the scaling limit of \({\mathcal{F}}\) implies that of the scaling limit of \({\mathcal{B}}\). 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 \({\mathcal{A}} \subset {\mathcal{B}}\) of local nets with the same canonical field net \({\mathcal{F}}\), we find sufficient conditions which entail the equality of the canonical field nets of \({\mathcal{A}}_{0} {\rm and} {\mathcal{B}}_{0}\).
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Klaus Fredenhagen.
Work supported by MIUR, GNAMPA-INDAM, the EU and SNS.
Submitted: August 29, 2008. Accepted: March 23, 2009.
Rights and permissions
About this article
Cite this article
Conti, R., Morsella, G. Scaling Limit for Subsystems and Doplicher–Roberts Reconstruction. Ann. Henri Poincaré 10, 485–511 (2009). https://doi.org/10.1007/s00023-009-0418-8
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00023-009-0418-8