Horava引力退耦极限的启示
Lessons from the decoupling limit of Horava gravity
摘要：
我们考虑所谓的“健康”的Horava引力的极限Stuckelberg场从引力子的扩展。我们验证了所谓的强耦合问题，在此限制下，假设没有大的无量纲参数的手。这是因为Stuckelberg场的色散关系在UV中不具有所需的z = 3各向异性标度。为了获得所需的标度和避免强耦合，必须引入低尺度的洛伦兹破坏，并在引力子和Stuckelberg场之间保持一定的耦合。我们还利用叶理保持对称性，以显示如何的Stuckelberg场夫妇的一些违反能量守恒。我们使用一个缓慢变化的质量的点粒子源的Stuckelberg场，并表明，两个这样的粒子感到一个恒定的吸引力。在这个特殊的例子中，我们没有看到Vainshtein效应，并且违反了等效原理。后者可能是通用的其他类型的源，并可能被用来放置洛仑兹违反规模的下限。
英文摘要：
We consider the so-called "healthy" extension of Horava gravity in the limit where the Stuckelberg field decouples from the graviton. We verify the alleged strong coupling problem in this limit, under the assumption that no large dimensionless parameters are put in by hand. This follows from the fact that the dispersion relation for the Stuckelberg field does not have the desired z = 3 anisotropic scaling in the UV. To get the desired scaling and avoid strong coupling one has to introduce a low scale of Lorentz violation and retain some coupling between the graviton and the Stuckelberg field. We also make use of the foliation preserving symmetry to show how the Stuckelberg field couples to some violation of energy conservation. We source the Stuckelberg field using a point particle with a slowly varying mass and show that two such particles feel a constant attractive force. In this particular example, we see no Vainshtein effect, and violations of the Equivalence Principle. The latter is probably generic to other types of source and could potentially be used to place lower bounds on the scale of Lorentz violation.
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