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Scaling Limit for Subsystems and Doplicher-Roberts Reconstruction

机译:子系统的扩展限制和Doplicher-Roberts重构

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摘要

Given an inclusion B subset of F of (graded) local nets, we analyse the structure of the corresponding inclusion of scaling limit nets B-0 subset of 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 of 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.
机译:给定(分级)局部网络F的包含B子集,我们分析F-0的比例限制网B-0子集的相应包含的结构,给出自由场理论中满足的条件,在此条件下, F的定标极限表示B的定标极限。作为副产品,我们明确计算标量自由场理论的定点网的(唯一)定标极限。在包含具有相同规范场网F的B的B个子集的特定情况下,我们找到了足以满足A(0)和B-0规范场网相等的条件。

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