论文标题
通货膨胀期间的派生互动：一种系统的方法
Derivative Interactions during Inflation: A Systematic Approach
论文作者
论文摘要
我们提供了一种系统的处方，用于通过宇宙的波函数来计算具有衍生相互作用的模型的宇宙相关函数，并将该结果与“ In-In-In”形式主义 - 规范方法进行比较。此过程的关键步骤是在共轭动量上执行整体路径积分，然后可以直接应用Feynman规则的概括。我们表明，该积分恢复了经典动作以及一些其他不同的贡献，这些贡献是取消由于涉及时间导数的环图而产生的其他差异所必需的。作为一个附带项目，我们首次介绍了“外形主义”的“脱壳”版本，有时更简单，尤其是对于具有衍生耦合的模型。为了检查我们的处方，作为一个特定的例子，我们使用$λ{ϕ'}^3 $衍生耦合来确定模型中标量波动的三光谱。
We present a systematic prescription for calculating cosmological correlation functions for models with derivative interactions through the wavefunction of the universe and compare this result with the "in-in" formalism -- canonical approach. The key step in this procedure is to perform the path integral over conjugate momenta after which a straightforward generalisation of Feynman's Rules can be applied. We show that this integral recovers the classical action plus some additional divergent contributions which are necessary to cancel other divergences that arise due to loop diagrams involving time derivatives. As a side project, for the first time, we introduce the "off-shell" version of the in-in formalism that is sometimes more straightforward, especially for the models with derivative coupling. To examine our prescription, as a specific example, we work out the trispectra of the scalar fluctuation in the model with the $λ{ϕ'}^3$ derivative coupling.
