带电场的标度代数及可定域荷和拓扑荷的短程分析
Scaling algebras for charged fields and short-distance analysis for localizable and topological charges
摘要：
标度代数方法，这已经介绍了作为一种手段，用于分析的短距离行为的量子场论在设置的模型无关，运营商代数的方法，被扩展到的情况下，携带超选择电荷的领域。在这样做时，将考虑严格可定域的电荷（“DHR型”超选择电荷）以及只能定域在扩展到类空无限大的区域中的电荷（“BF型”超选择电荷）。提出了超选择电荷在短程标度极限下的不变性判据。超选择电荷的这种排斥的后果进行了研究。保留电荷的共轭电荷也被保留，并且对于DHR类型的电荷，在标度极限中量子场论的所有电荷的不对称性导致超选择扇区之间的局部和全局缠绕的等价性。
英文摘要：
The method of scaling algebras, which has been introduced earlier as a means for analyzing the short-distance behaviour of quantum field theories in the setting of the model-independent, operator-algebraic approach, is extended to the case of fields carrying superselection charges. In doing so, consideration will be given to strictly localizable charges ("DHR-type" superselection charges) as well as to charges which can only be localized in regions extending to spacelike infinity ("BF-type" superselection charges). A criterion for the preservance of superselection charges in the short-distance scaling limit is proposed. Consequences of this preservance of superselection charges are studied. The conjugate charge of a preserved charge is also preserved, and for charges of DHR-type, the preservance of all charges of a quantum field theory in the scaling limit leads to equivalence of local and global intertwiners between superselection sectors.
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