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arXiv math-ph/0201042math-phhep-thmath.MPmath.OA
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紫外光中的电荷结构和禁闭的一个本质概念

The Structure of Charges in the Ultraviolet and an Intrinsic Notion of Confinement

Gerardo Morsella

摘要:

在简要介绍了Buchholz和Verch发展的重整化群的代数形式和Doplicher-Haag- Roberts超选择扇区理论的主要结果之后,我们引入了渐近电荷转移链的概念,通过它可以完全根据基础理论的观测量重建标度极限理论的超选择结构。此外,这些对象允许制定一个自然的概念,保存的电荷在标度限制,使人们得到一个内在的定义,约束的电荷,作为那些电荷的标度限制,不来自保存的费用的基础理论。这是对结果的简要说明。证据将在其他地方发表。

英文摘要:

After a brief account of the algebraic version of renormalization group developed by Buchholz and Verch, and of the main results of the Doplicher-Haag- Roberts theory of superselection sectors, we introduce the notion of asymptotic charge transfer chain, through which it is possible to reconstruct the scaling limit theory's superselection structure entirely in terms of underlying theory's observables. Furthermore, these objects allow the formulation of a natural notion of preservation of a charge in the scaling limit, so that one gets an intrinsic definition of confined charges, as those charges of the scaling limit which do not come from preserved charges of the underlying theory. This is an expository account of the results. Proofs will be published elsewhere.

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