The cosmological Slavnov-Taylor identity from BRST symmetry in single-field inflation
The cosmological Slavnov-Taylor identity from BRST symmetry in single-field inflation
复制标题
单场膨胀中 BRST 对称性的宇宙学斯拉夫诺夫-泰勒恒等式
DOI：
10.1088/1475-7516/2016/03/045
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发表时间：
2015
影响因子：
6.4
通讯作者：
A. Quadri
中科院分区：
文献类型：
--
作者：
D. Binosi;A. Quadri
从与Arnowitt-Deser-Misner(ADM)形式中的微分同态不变性相关的Becchi-Rouet-Stora-Tyutin(BRST)对称性出发，得到了与单个膨胀子场耦合的爱因斯坦-希尔伯特作用量的宇宙斯拉夫诺夫-泰勒(ST)恒等式。然后，从ST恒等式和软破的共形对称性出发，导出了压缩极限中标量模和张量模的相关器之间的一致性条件。恢复了马尔达塞纳在水平交会时连接2点和3点相关器的原始关系，以及由特殊保角变换控制的次前导改正。
The cosmological Slavnov-Taylor (ST) identity of the Einstein-Hilbert action coupled to a single inflaton field is obtained from the Becchi-Rouet-Stora-Tyutin (BRST) symmetry associated with diffeomorphism invariance in the Arnowitt-Deser-Misner (ADM) formalism. The consistency conditions between the correlators of the scalar and tensor modes in the squeezed limit are then derived from the ST identity, together with the softly broken conformal symmetry. Maldacena's original relations connecting the 2- and 3-point correlators at horizon crossing are recovered, as well as the next-to-leading corrections, controlled by the special conformal transformations.