Spectral properties of Schwarzschild instantons
Spectral properties of Schwarzschild instantons
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DOI：
10.1088/0264-9381/33/20/205008
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发表时间：
2016-10-20
影响因子：
3.5
通讯作者：
Schroers, Bernd J.
中科院分区：
文献类型：
--
作者：
Jante, Rogelio;Schroers, Bernd J.
研究了欧氏Schwarzschild空间上Dirac算子和标量拉普拉斯算子的谱性质，这两个算子都被一族具有反自对偶曲率的交换联络扭曲。我们表明，零模式的规范狄拉克运营商，首先研究教皇，采取一个特别简单的形式，在半径的欧几里得时间轨道，并解释它们的背景下的几何模型的物质。对于规范的拉普拉斯算子，我们研究了束缚态的光谱数值，并观察到它可以近似的精确可解规范的拉普拉斯算子的欧氏Taub-NUT空间的显着精度。
We study spectral properties of the Dirac and scalar Laplace operator on the Euclidean Schwarzschild space, both twisted by a family of abelian connections with anti-self-dual curvature. We show that the zero-modes of the gauged Dirac operator, first studied by Pope, take a particularly simple form in terms of the radius of the Euclidean time orbits, and interpret them in the context of geometric models of matter. For the gauged Laplace operator, we study the spectrum of bound states numerically and observe that it can be approximated with remarkable accuracy by that of the exactly solvable gauged Laplace operator on the Euclidean Taub-NUT space.