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arXiv 2301.07019gr-qc
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Cuscuton暴胀的观测约束与预热

Observational Constraints and Preheating in Cuscuton Inflation

Phongpichit Channuie, Khamphee Karwan, Jakkrit Sangtawee

AI总结:

本文研究了二次和指数势下的cuscuton暴胀模型,发现cuscuton在领头阶不影响标量谱指数但可抑制张标比,并分析了参数共振引发的粒子产生机制。

摘要:

我们研究了在cuscuton势取二次和指数形式模型下的cuscuton暴胀。我们发现,对于二次势,在慢滚暴胀模型的领头阶中,标量谱指数$n_s$不受cuscuton影响。然而,张标比$r$可以被抑制。对于cuscuton的指数势,我们找到了暴胀能够实现优雅退出的条件。在此条件下,该模型的观测预测与标准暴胀存在百分之几的差异。我们还研究了两种模型中由参数共振引起的粒子产生。我们发现在Minkowski空间中,参数共振阶段可以用Mathieu方程来描述。对于cuscuton具有二次势的情况,Mathieu方程中驱动力的振幅与标准暴胀具有相似的形式。然而,在指数势的情况下,驱动力的振幅比标准情况衰减得更快。尽管如此,我们模型中的参数共振可以足够宽,从而实现粒子数量的指数增长。我们简要讨论了考虑空间膨胀的情况。

英文摘要:

We study cuscuton inflation for the models where the potential of the cuscuton takes quadratic and exponential forms. We find that for the quadratic potential, a scalar spectral index $n_s$ is not affected by cuscuton at the leading order in the slow-roll inflation models. However, a tensor-to-scalar ratio $r$ can be suppressed. For the exponential potential of cuscuton, we find the condition for which the inflation has a graceful exit. Under this condition, the observational predictions in this model differ by a few percent from those found in standard inflation. We also examine the particle production due to parametric resonances in both models. We find that in Minkowski space the stage of parametric resonances can be described by the Mathieu equation. For the case where the cuscuton has quadratic potential, the amplitude of the driving force in the Mathieu equation has a similar form as that in standard inflation. Nevertheless, in the case of exponential potential, the amplitude of the driving force decreases faster than that in the standard case. However, parametric resonances in our models can be sufficiently broad possible for the exponential growth of the number of particles. We briefly discuss the case in which the expansion of space is taken into account.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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