arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.00969gr-qcastro-ph.COhep-th
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多场暴胀中有效声速的模型无关方法

Model-independent approach to effective sound speed in multi-field inflation

Antonio Enea Romano, Sergio Andrés Vallejo-Peña, Krzysztof Turzyński

摘要:

对于任何满足爱因斯坦方程的物理系统,共动曲率扰动满足一个涉及动量相关有效声速的方程,该方程对任何具有明确定义的能量-应力张量的系统都有效,包括多场暴胀模型。我们推导出一个通用的模型无关公式的有效声速的共动绝热扰动,有效的一个通用的场空间度量,没有假设任何近似整合出熵扰动,但表示动量依赖的有效声速的组件的总能量应力张量。作为一个应用程序,我们研究了一些两个领域之间的动力学耦合的模型,识别有效理论的单曲率模式,并表明动量相关的有效声速完全占曲率扰动的功率谱的预测。我们的结果表明,动量相关的有效声速是一个方便的计划,用于描述所有的暴胀模型,承认一个单场有效的理论,包括熵扰动的影响,目前在多场系统。

英文摘要:

For any physical system satisfying the Einstein's equations, the comoving curvature perturbations satisfy an equation involving the momentum-dependent effective sound speed, valid for any system with a well defined energy-stress tensor, including multi-fields models of inflation. We derive a general model-independent formula for the effective sound speed of comoving adiabatic perturbations, valid for a generic field-space metric, without assuming any approximation to integrate out entropy perturbations, but expressing the momentum-dependent effective sound speed in terms of the components of the total energy-stress tensor. As an application, we study a number of two-field models with a kinetic coupling between the fields, identifying the single curvature mode of the effective theory and showing that momentum-dependent effective sound speed fully accounts for the predictions for the power spectrum of curvature perturbations. Our results show that the momentum-dependent effective sound speed is a convenient scheme for describing all inflationary models that admit a single-field effective theory, including the effects of entropy perturbations present in multi-fields systems.

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