Slavnov-Taylor identities for primordial perturbations
Slavnov-Taylor identities for primordial perturbations
复制标题
原初扰动的斯拉夫诺夫-泰勒恒等式
DOI：
10.1088/1475-7516/2014/02/003
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发表时间：
2013
影响因子：
6.4
通讯作者：
J. Khoury
中科院分区：
文献类型：
--
作者：
L. Berezhiani;J. Khoury
在宇宙学中，绝热模的关联函数受到无数个相容性关系的约束，这些相容性关系将具有软动量标量或张量模的N + 1点关联函数与硬动量模的N点关联函数的对称变换联系起来。它们在每个阶n处约束软极限的qn行为。在本文中，我们表明，所有的一致性关系来自一个单一的，主身份，这是从斯拉夫诺夫泰勒身份的空间同构。这个主身份在q的任何值下都是有效的，因此超出了软限制。通过对软动量进行n次微分，我们恢复了每个q阶的一致性关系。我们的方法强调了宇宙学的一致性关系的根源的空间同胚不变性的作用。它还提供了新的见解的必要条件，为他们的有效性：一个物理贡献的顶点功能必须满足一定的分析性质的软限制，以保持一致性关系。对于标准的暴胀模型，这相当于要求模函数具有常数增长模解。对于更奇特的模式，其中模式不“冻结”在通常意义上，解析性要求提供了一个明确的标准。
Correlation functions of adiabatic modes in cosmology are constrained by an infinite number of consistency relations, which relate N + 1-point correlation functions with a soft-momentum scalar or tensor mode to a symmetry transformation on N-point correlation functions of hard-momentum modes. They constrain, at each order n, the qn behavior of the soft limits. In this paper we show that all consistency relations derive from a single, master identity, which follows from the Slavnov-Taylor identity for spatial diffeomorphisms. This master identity is valid at any value of q and therefore goes beyond the soft limit. By differentiating it n times with respect to the soft momentum, we recover the consistency relations at each q order. Our approach underscores the role of spatial diffeomorphism invariance at the root of cosmological consistency relations. It also offers new insights on the necessary conditions for their validity: a physical contribution to the vertex functional must satisfy certain analyticity properties in the soft limit in order for the consistency relations to hold. For standard inflationary models, this is equivalent to requiring that mode functions have constant growing-mode solutions. For more exotic models in which modes do not ``freeze'' in the usual sense, the analyticity requirement offers an unambiguous criterion.
影响因子：
5.4
作者：
A. Bzowski;Paul McFadden;Kostas Skenderis
通讯作者：
A. Bzowski;Paul McFadden;Kostas Skenderis