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arXiv 1111.5434gr-qc
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解构下的爱因斯坦宇宙:简并费米子的情况

Einstein Universe under Deconstruction: the case with degenerate fermions

Nahomi Kan, Koichro Kobayashi, Kiyoshi Shiraishi

摘要:

我们研究了基于图的诱导引力下爱因斯坦宇宙的自洽静态解。在基于图的解构模型的推广中,图的拉普拉斯算子和邻接矩阵的特征值给出了粒子的质谱。因此,我们可以很容易地控制在单圈水平的紫外发散在这样的模型。我们采用图的谱分布函数的计算方法,寻找费米子简并压力(零温)支持的静态解。该报告基于arXiv:1110.5697。

英文摘要:

We study self-consistent static solutions for an Einstein universe in a graph-based induced gravity. In the generalization of the deconstruction model based on the graph, the eigenvalues of the graph Laplacian and the adjacent matrix gives the mass spectrum the particles. Thus we can easily control UV divergences at one-loop level in such a model. We use the calculation method with the spectrum distribution function of the graph and search for the static solution supported by the degenerate pressure of the fermion (at zero temperature). The report is based on arXiv:1110.5697.

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