Non-Gaussianity from the trispectrum in general single field inflation
Non-Gaussianity from the trispectrum in general single field inflation
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一般单场膨胀中三谱的非高斯性
DOI：
10.1103/physrevd.77.083517
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发表时间：
2008
影响因子：
5
通讯作者：
Arroja F
中科院分区：
文献类型：
--
作者：
Arroja F
我们计算了最小耦合单场暴胀模型的标量和二阶张量微扰的微扰理论中的四阶作用量，其中暴胀子的拉格朗日量是场值和动能的一般函数.得到了共动规范和一致曲率规范中的四阶相互作用哈密顿量。利用共动规范作用，我们计算了慢滚中超前阶的三谱，发现与文献中的一个已知结果一致。我们指出，在一般情况下，获得正确的领导阶三谱不能忽略二阶张量扰动，如以前所做的其他。下一个领先的顺序校正可能会成为可检测的形状，我们提供了必要的形式主义来计算它们。
We compute the fourth order action in perturbation theory for scalar and second order tensor perturbations for a minimally coupled single field inflationary model, where the inflaton’s Lagrangian is a general function of the field’s value and its kinetic energy. We obtain the fourth order interaction Hamiltonian in two gauges, the comoving gauge and the uniform curvature gauge. Using the comoving gauge action we calculate the trispectrum at leading order in slow roll, finding agreement with a previously known result in the literature. We point out that, in general, to obtain the correct leading order trispectrum one cannot ignore second order tensor perturbations as previously done by others. The next-to-leading order corrections may become detectable depending on the shape, and we provide the necessary formalism to calculate them.