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arXiv 1601.02203hep-thastro-ph.COgr-qc
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一个宇宙学常数问题的解

Some solutions for one of the cosmological constant problems

Shin'ichi Nojiri

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LaTeX 9 pages, references are added, the version to appear in Mod.Phys.Lett.A
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摘要：

我们提出了几个协变模型，可以解决宇宙学常数中的一个问题。其中一个模型可以看作是隔离模型的扩展。其他模型可以被视为单模引力协变公式的扩展。来自物质的量子修正对真空能量的贡献被吸收到标量场的重新定义中，并且量子修正变得与动力学无关。在一类推广的么模引力模型中，我们还考虑了拓扑场论模型。这些模型可以扩展，不仅真空能量，而且对引力作用的任何量子修正都可能与动力学无关。然而，我们发现拓扑场论中的BRS对称性是自发破缺的，因此模型可能是不相容的。

英文摘要：

We propose several covariant models which may solve one of the problems in the cosmological constant. One of the model can be regarded as an extension of sequestering model. Other models could be regarded as extensions of the covariant formulation of the unimodular gravity. The contributions to the vacuum energy from the quantum corrections from the matters are absorbed into a redefinition of a scalar field and the quantum corrections become irrelevant to the dynamics. In a class of the extended unimodular gravity models, we also consider models which are regarded as topological field theories. The models can be extended and not only the vacuum energy but any quantum corrections to the gravitational action could become irrelevant for the dynamics. We find, however, that the BRS symmetry in the topological field theories is broken spontaneously and therefore the models might not be consistent.

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