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arXiv 0812.0533gr-qchep-thmath-phmath.MP
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二维Einstein时空中大质量玻色子的拓扑特征

Topological features of massive bosons on two dimensional Einstein space-time

Romeo Brunetti, Lorenzo Franceschini, Valter Moretti

摘要:

在本文中,我们解决的问题,构造明确的例子拓扑上循环的罗伯茨净上同调,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)。该构造仅使用柯西数据和圆上局部代数的相关网进行。

英文摘要:

In this paper 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). The construction is carried out using only Cauchy data and related net of local algebras on the circle.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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