New Light on Infrared Problems: Sectors, Statistics, Symmetries and Spectrum
New Light on Infrared Problems: Sectors, Statistics, Symmetries and Spectrum
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DOI：
10.1007/s00220-014-2004-2
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发表时间：
2014-09-01
影响因子：
2.4
通讯作者：
Roberts, John E.
中科院分区：
文献类型：
--
作者：
Buchholz, Detlev;Roberts, John E.
在局域量子物理学的一般框架内，提出了一种分析理论物理状态空间的新方法。它也涵盖了长程力的理论，如量子电动力学。利用电荷类的概念，超选择扇区的概念的扩展，红外问题是避免限制的状态，本地化的光锥中的可观测量。理论的电荷结构可以用系统的方式来探索。本分析集中于简单电荷，因此包括电荷。它表明，任何这样的电荷有一个共轭电荷。有一个有意义的统计概念：相应的电荷类要么是玻色型，要么是费米型。简单电荷类族与紧阿贝尔群的不可约酉表示一一对应。此外，有一个有意义的定义的协变电荷类。任何这样的类确定庞加莱群或其覆盖群的连续酉表示满足相对论谱条件。所产生的颗粒方面也进行了简要讨论。
A new approach to the analysis of the physical state space of a theory is presented within the general setting of local quantum physics. It also covers theories with long range forces, such as quantum electrodynamics. Making use of the notion of charge class, an extension of the concept of superselection sector, infrared problems are avoided by restricting the states to observables localized in a light cone. The charge structure of a theory can be explored in a systematic manner. The present analysis focuses on simple charges, thus including the electric charge. It is shown that any such charge has a conjugate charge. There is a meaningful concept of statistics: the corresponding charge classes are either of Bose or of Fermi type. The family of simple charge classes is in one-to-one correspondence with the irreducible unitary representations of a compact Abelian group. Moreover, there is a meaningful definition of covariant charge classes. Any such class determines a continuous unitary representation of the Poincar, group or its covering group satisfying the relativistic spectrum condition. The resulting particle aspects are also briefly discussed.