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arXiv 0906.3046hep-thastro-ph.COgr-qchep-ph
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Horava引力的额外模和不一致性

On the Extra Mode and Inconsistency of Horava Gravity

D. Blas, O. Pujolas, S. Sibiryakov

摘要:

我们解决的一致性Horava的建议的量子引力理论从低能量的角度来看。我们揭示了额外的标量自由度所产生的显式破坏的一般协方差,并研究其性质。分析是在原来的制定的理论和Stueckelberg图片。新模式的一个特点是,它满足一个运动方程,这是一阶的时间导数。在线性水平下,该模式仅在空间不均匀和时间相关的背景下表现出来。我们发现与这种模式相关的两个严重问题。首先,该模式在短距离内发展非常快的指数不稳定性。第二,它在极低的截止尺度上变得强耦合。我们还讨论了Horava的建议的“可投射”版本,并认为这个版本可以被理解为鬼凝聚模型的一定限制。该理论仍然是有问题的,因为额外的领域一般形成焦散线,并再次,有一个非常低的强耦合规模。我们澄清了一些微妙之处,出现在应用程序中的Stueckelberg形式主义Horava的模型,由于其非相对论性质。

英文摘要:

We address the consistency of Horava's proposal for a theory of quantum gravity from the low-energy perspective. We uncover the additional scalar degree of freedom arising from the explicit breaking of the general covariance and study its properties. The analysis is performed both in the original formulation of the theory and in the Stueckelberg picture. A peculiarity of the new mode is that it satisfies an equation of motion that is of first order in time derivatives. At linear level the mode is manifest only around spatially inhomogeneous and time-dependent backgrounds. We find two serious problems associated with this mode. First, the mode develops very fast exponential instabilities at short distances. Second, it becomes strongly coupled at an extremely low cutoff scale. We also discuss the "projectable" version of Horava's proposal and argue that this version can be understood as a certain limit of the ghost condensate model. The theory is still problematic since the additional field generically forms caustics and, again, has a very low strong coupling scale. We clarify some subtleties that arise in the application of the Stueckelberg formalism to Horava's model due to its non-relativistic nature.

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