一种新的反演方法：参数摄动理论
A new approach to resummation: Parametric Perturbation Theory
摘要：
本文提出了一种{ \sl非微扰}方法，称为{ \sl参数微扰理论}（PPT），它是对普通微扰理论的一种替代。该方法依赖于一个简单的原则，可观察到的解决方案，这是限制在一定的线性（非物理）参数。微扰展开是在这个参数中进行的，而不是在物理耦合中（如在普通微扰理论中）。我们证明了该方法能够对发散的微扰级数进行求和，{ \sl提取}领先的渐近（强耦合）行为，{ \sl预测}具有高精度的微扰级数的系数.
英文摘要：
We present a {\sl non--perturbative} method, called {\sl Parametric Perturbation Theory} (PPT), which is alternative to the ordinary perturbation theory. The method relies on a principle of simplicity for the observable solutions, which are constrained to be linear in a certain (unphysical) parameter. The perturbative expansion is carried out in this parameter and not in the physical coupling (as in ordinary perturbation theory). We show that the method is capable to resum the divergent perturbative series, to {\sl extract} the leading asymptotic (strong coupling) behavior and {\sl predict} with high accuracy the coefficients of the perturbative series.
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