Einstein圆柱宇宙中Weyl-代数网的拓扑扇区
Topological sectors for Weyl-algebra net in the Einstein cylindrical universe
摘要：
本文是arXiv：0812.0533的扩展和更详细的版本。我们解决的问题，罗伯茨净上同调的拓扑上循环的构造明确的例子，定义抽象的Brunetti和Ruzzi。本文考虑二维爱因斯坦柱体上有质量玻色量子场论的简单情形。在得到量子化代数框架的一些重要结果后，我们讨论了拓扑上圈的构造问题。所有构造的上圈都导致了圆的基本群的酉等价表示（被看作是所有可能的柯西曲面的非纯像）。
英文摘要：
This paper is an extended and more detailed version of arXiv:0812.0533. We tackle the problem of constructing explicit examples of topological cocycles of Roberts' net cohomology, as defined abstractly by Brunetti and Ruzzi. We consider the simple case of massive bosonic quantum field theory on the two dimensional Einstein cylinder. After deriving some crucial results of the algebraic framework of quantization, we address the problem of the construction of the topological cocycles. All constructed cocycles lead to unitarily equivalent representations of the fundamental group of the circle (seen as a diffeomorphic image of all possible Cauchy surfaces).
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