Horava gravity at a Lifshitz point: A progress report
Horava gravity at a Lifshitz point: A progress report
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Lifshitz 点的 Horava 引力：进度报告
DOI：
10.1142/s0218271817300142
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发表时间：
2017
影响因子：
2.2
通讯作者：
Wang Anzhong
中科院分区：
文献类型：
--
作者：
Wang Anzhong
HořAva在利夫希兹点的量子引力是一个旨在通过使用传统的量子场论来量子化重力的理论。为了避免奥斯特罗格拉茨基的幽灵，这是自20世纪70年代中期S以来在广义相对论量子化中一直面临的一个问题，HořAva选择在超高能量下通过空间和时间之间的Lifshitz型各向异性标度来打破洛伦兹不变性，同时(近似)恢复低能下的不变性。由于严格的观测约束和自我一致性，事实证明，这并不是一项容易的任务，自2009年该理论首次具体化以来，人们提出了各种修改。在这篇综述中，我们将提供一份关于HořAVA引力的最新发展的进展报告。特别是，我们首先介绍了到目前为止研究最多的四个Hořava引力版本，首先关注它们的自洽性，然后讨论它们与实验的一致性，包括太阳系测试和宇宙学观测。然后，我们概述了该理论在三个不同但又相关的领域的最新发展：(I)宇宙视界、黑洞及其热力学，(Ii)非相对论规范/引力二象性和(Iii)该理论的量子化。这些领域的研究可以很容易地推广到其他具有打破洛伦兹不变性的引力理论。
Hořava’s quantum gravity at a Lifshitz point is a theory intended to quantize gravity by using traditional quantum field theories. To avoid Ostrogradsky’s ghosts, a problem that has been facing in quantization of general relativity since the middle of 1970’s, Hořava chose to break the Lorentz invariance by a Lifshitz-type of anisotropic scaling between space and time at the ultra-high energy, while recovering (approximately) the invariance at low energies. With the stringent observational constraints and self-consistency, it turns out that this is not an easy task, and various modifications have been proposed, since the first incarnation of the theory in 2009. In this review, we shall provide a progress report on the recent development of Hořava gravity. In particular, we first present four so far most-studied versions of Hořava gravity, by focusing first on their self-consistency and then their consistency with experiments, including the solar system tests and cosmological observations. Then, we provide a general review on the recent development of the theory in three different but also related areas: (i) universal horizons, black holes and their thermodynamics, (ii) nonrelativistic gauge/gravity duality and (iii) quantization of the theory. The studies in these areas can be easily generalized to other gravitational theories with broken Lorentz invariance.