论文标题
减少订单
On the order reduction
论文作者
论文摘要
在这项工作中，我们介绍了以迭代方式减少顺序减少到更高扰动近似的技术。目的也是要更仔细地分析降级技术有效性的条件。考虑到这一点，将迭代顺序降低分析收敛到确切解决方案的一些简单情况作为示例。据发现，至少在应用于这些示例时，至少在大多数已知的扰动方案中，作为扰动迭代技术的阶数减少不会像大多数已知的扰动方案一样融合。同样，考虑到这些特定示例，降低阶的收敛性发生在强耦合方案中。作为一个更现实的情况，介绍了降低阶的降低，以提出Starobinsky的通货膨胀模型。据验证，该方法在慢速滚动状态下会收敛到通货膨胀解决方案。
In this work we present an extension of the technique of the order reduction to higher perturbative approximations in an iterative fashion. The intention is also to analyze more carefully the conditions for the validity of the order reduction technique. With this in mind, a few simple situations in which the iterative order reduction converges analytically to the exact solutions are presented as examples. It is discovered that the order reduction as a perturbative iterative technique does not converge in the weak coupling limit as most of the known perturbative schemes, at least when applied to these examples. Also, considering these specific examples, the convergence of the order reduction occurs in strong coupling regimes. As a more realistic case, the order reduction is applied to Starobinsky's inflationary model is presented. It is verified that the method converges to the inflationary solution in the slow-roll regime.
