运行联轴器和质量块的系统扩展
A Systematic Expansion of Running Couplings and Masses
摘要：
作为直接积分其定义方程以找到运行耦合$a(μ)$和运行质量$m(μ)$的替代方案，我们将这些量展开为$\ln\left(\fracμ{μ^\prime}\right)$的幂以及它们的边界值$a(μ^\prime)$和$m(μ^\prime)$。用重整化群求和法对这些方程进行部分求和。我们认为这种方法使用的$\overline{MS}$和t Hooft重整化计划。我们还展示了如何在任何两个质量无关重整化方案的耦合和质量。
英文摘要：
As an alternative to directly integrating their defining equations to find the running coupling $a(μ)$ and the running mass $m(μ)$, we expand these quantities in powers of $\ln\left(\fracμ{μ^\prime}\right)$ and their boundary values $a(μ^\prime)$ and $m(μ^\prime)$. Renormalization group summation is used to partially sum these logarithms. We consider this approach using both the $\overline{MS}$ and 't Hooft renormalization schemes. We also show how the couplings and masses in any two mass independent renormalization schemes are related.
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