We study the evolution of the physical parameter values defined at the sub-planckian energies to values at low energies. The Wilson action is the basis of the research. The presence of the compact extra dimensions has two consequences. The positive point is that the integration over extra dimensions is a promising way to substantially reduce the parameters to be comparable with the observational values. On the other hand, the discreteness of the energy levels of compact extra dimensions complicates the analysis. This difficulty can be overcome with the truncated Green functions.

中文翻译：

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如何减小物理参数

我们研究了在次普朗克能量处定义的物理参数值向低能量值处的演化。威尔逊行动是研究的基础。紧凑的额外尺寸的存在有两个后果。积极的一点是，在额外维度上进行积分是一种有前途的方式，可以将参数大幅减小以与观测值相媲美。另一方面，紧凑尺寸的能级的离散性使分析变得复杂。可以通过截断的Green函数克服此困难。