New Light on Infrared Problems: Sectors, Statistics, Spectrum and All That

New Light on Infrared Problems: Sectors, Statistics, Spectrum and All That
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关于红外问题的新见解:部门、统计、频谱等等

DOI:
10.1142/9789814449243_0064
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发表时间:
2013
期刊:
arXiv: Mathematical Physics
影响因子:
--
通讯作者:
D. Buchholz
D. Buchholz
中科院分区:
--
文献类型:
--
作者:
D. Buchholz

文献摘要

被引文献

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在代数量子场论的一般背景下,提出了一种分析理论的物理状态空间的新方法;它涵盖了具有长程力的理论,如量子电动力学。利用电荷类的概念,它推广了超选择扇区的概念,避免了红外问题。事实上,在此基础上,人们可以系统地确定和分类理论的适当电荷含量,相应状态的统计及其光谱性质。这种方法的一个关键因素是,在真实的实验中,时间之箭会产生纯几何性质的洛伦兹不变红外截止。
Within the general setting of algebraic quantum field theory, a new approach to the analysis of the physical state space of a theory is presented; it covers theories with long range forces, such as quantum electrodynamics. Making use of the notion of charge class, which generalizes the concept of superselection sector, infrared problems are avoided. In fact, on this basis one can determine and classify in a systematic manner the proper charge content of a theory, the statistics of the corresponding states and their spectral properties. A key ingredient in this approach is the fact that in real experiments the arrow of time gives rise to a Lorentz invariant infrared cutoff of a purely geometric nature.