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arXiv 0912.0136gr-qchep-th
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作为Horava-Lifshits理论中Hamilton约束本征值的宇宙学常数

The cosmological constant as an eigenvalue of the Hamiltonian constraint in Horava-Lifshits theory

Remo Garattini

摘要:

在Horava-Lifshitz理论框架下,我们研究了Wheeler-DeWitt方程的本征值,它代表了与宇宙学常数相关的真空期望值.明确的计算进行的帮助下,与高斯型的试探波泛函的变分过程。我们分析了有详细平衡条件和无详细平衡条件的情况,在无详细平衡条件的情况下,我们发现本征值的存在分别依赖于耦合常数(g2,g3)和(g4,g5,g6)的集合和物理尺度。

英文摘要:

In the framework of Horava-Lifshitz theory, we study the eigenvalues associated with the Wheeler-DeWitt equation representing the vacuum expectation values associated with the cosmological constant. The explicit calculation is performed with the help of a variational procedure with trial wave functionals of the Gaussian type. We analyze both the case with the detailed balanced condition and the case without it. In the case without the detailed balance, we find the existence of an eigenvalue depending on the set of coupling constants (g2,g3) and (g4,g5,g6), respectively, and on the physical scale.

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