Parity violation in the scalar trispectrum: no-go theorems and yes-go examples
Parity violation in the scalar trispectrum: no-go theorems and yes-go examples
复制标题
DOI：
10.1007/jhep02(2023)021
复制
发表时间：
2022-10
影响因子：
5.4
通讯作者：
G. Cabass;Sadra Jazayeri;E. Pajer;David Stefanyszyn
中科院分区：
文献类型：
--
作者：
G. Cabass;Sadra Jazayeri;E. Pajer;David Stefanyszyn
我们得到了曲率扰动的奇偶奇原始三谱的一组不可行定理和可行例子。我们工作在树水平的有效场论的去耦限制的通货膨胀和假设标度不变性和Bunch-Davies真空。我们证明了奇偶奇标量三谱在任意质量的标量场存在的情况下为零，奇偶奇标量相关器在任意无质量的de Sitter模函数的自旋场存在的情况下为零，这与Liu，Tong，Wang和Xianyu [1]的结果一致.对于具有奇数个共形耦合外部场的双稳振荡器也是如此。我们得到这些结果使用（boostless）宇宙学自举，特别是宇宙学光学定理，和明确的微扰计算。然后，我们讨论了一系列的是去的例子，放松上述假设之一的时间。特别是，我们提供了明确的结果奇偶奇三谱（i）违反标度不变性的单钟膨胀，（ii）修改后的色散关系的鬼凝聚（非Bunch-Davies真空），（iii）相互作用与大规模的旋转领域。我们的研究结果建立了奇偶奇三谱作为一个非常敏感的新的物理超越香草通货膨胀的探针。
We derive a set of no-go theorems and yes-go examples for the parity-odd primordial trispectrum of curvature perturbations. We work at tree-level in the decoupling limit of the Effective Field Theory of Inflation and assume scale invariance and a Bunch-Davies vacuum. We show that the parity-odd scalar trispectrum vanishes in the presence of any number of scalar fields with arbitrary mass and any parity-odd scalar correlator vanishes in the presence of any number of spinning fields with massless de Sitter mode functions, in agreement with the findings of Liu, Tong, Wang and Xianyu [1]. The same is true for correlators with an odd number of conformally-coupled external fields. We derive these results using both the (boostless) cosmological bootstrap, in particular the Cosmological Optical Theorem, and explicit perturbative calculations. We then discuss a series of yes-go examples by relaxing the above assumptions one at the time. In particular, we provide explicit results for the parity-odd trispectrum for (i) violations of scale invariance in single-clock inflation,(ii) the modified dispersion relation of the ghost condensate (non-Bunch-Davies vacuum), and (iii) interactions with massive spinning fields. Our results establish the parity-odd trispectrum as an exceptionally sensitive probe of new physics beyond vanilla inflation.