Classification of Subsystems of Local Algebras
The physical observables of a relativistic quantum system should be described by a net of local algebras; therefore it is of interest to study and classify such nets. The question of embedding nets in other, larger nets has been extensively studied; this work examines the subnets of a given large net. When is it the case that the subnets of a given net of local algebras can be classified by their global gauge invariances, i.e., by their superselection rules? Criteria are given for this to be the case, and the question is settled for the case of countably many finite-multiplet massive scalar free fields with discrete masses. This provides a classification of all nets associated with such fields.
- Pub Date:
- QUANTUM FIELDS;
- Physics: Elementary Particles and High Energy; Mathematics