Scaling algebras for charged fields and short-distance analysis for localizable and topological charges
The method of scaling algebras introduced for analysis of the short-range behavior of quantum field theories is generalized to the case of fields carrying superselection charges, either strictly localizable (``DHR-type'' superselection charges) or those which can only be localized in the regions extending to spacelike infinity (``BF-type'' superselection charges). The criterion that specifies the meaning of that a charge superselection sector of the given quantum field theory is ``preserved'' in the scaling limit is proposed. It is shown that a superselection charge is preserved in the scaling limit if the corresponding conjugate charge is preserved as well. If particularly the DHR-type charges are preserved, the sets of local and global intertwiners for the superselection charges coincide.
quantum field theory gauge group action scaling algebra superselection charge short-distance behavior scaling limit gauge symmetry intertwiner preservance of charge
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