Examination of the physical pictures of the field theories with nonlinearly realized symmetries by the Wilsonian renormalization group method

我们提出了一种确定核等效场理论的功率计数规则的方法，它反映了强相互作用的基本理论QCD的手征对称性。该方法基于非微扰或威尔逊重整化群分析得到的标度维。我们证明了所得到的幂计数规则与Kaplan，Savage和Wise提出的规则非常相似。在此基础上，提出了一种计算核子-核子散射相移的实用方案，并进行了计算。

We propose a method of determining the power counting rule for Nuclear Effective Field Theory, which reflects chiral symmetry of QCD, the fundamental theory of strong interactions. The method is based on the scaling dimensions obtained by the nonperturbative, or Wilsonian, renormalization group analysis. We show that the resulting power counting rule turns out to be very similar to that proposed by Kaplan, Savage, and Wise. We also propose a practical scheme of calculating the nucleon-nucleon scattering phase shift on the basis of the analysis and perform the calculations.