Generalized scale invariant theories
Generalized scale invariant theories
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广义尺度不变理论
DOI：
10.1103/physrevd.89.065009
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发表时间：
2014
影响因子：
5
通讯作者：
Padilla A
中科院分区：
文献类型：
--
作者：
Padilla A
我们提出了一个单一的标量场和两个标量场耦合到重力的最一般的行动，符合四维二阶场方程，具有局部尺度不变性。我们采用两种不同的方法来得出我们的结果。一种方法，利玛窦规范，是已知的文献，我们发现这产生相同的结果的情况下，一个标量场作为一个更有效的方法在这里提出。然而，当我们考虑两个标量场时，我们也发现我们更有效的方法更一般。局部尺度不变的行动也提出了两个以上的标量场耦合到重力理论，我们解释了如何可以构建最一般的行动，任何数量的标量场。我们的广义标度不变作用量在早期宇宙学中有明显的应用，例如，Bezrukov-Shaubnikov作用量作为一个子集。
We present the most general actions of a single scalar field and two scalar fields coupled to gravity, consistent with second-order field equations in four dimensions, possessing local scale invariance. We apply two different methods to arrive at our results. One method, Ricci gauging, was known to the literature and we find this to produce the same result for the case of one scalar field as a more efficient method presented here. However, we also find our more efficient method to be much more general when we consider two scalar fields. Locally scale invariant actions are also presented for theories with more than two scalar fields coupled to gravity and we explain how one could construct the most general actions for any number of scalar fields. Our generalized scale invariant actions have obvious applications to early Universe cosmology and include, for example, the Bezrukov-Shaposhnikov action as a subset.