一种新的功能性RG流：调节源2 PI与平均1 PI
A new functional RG flow: regulator-sourced 2PI versus average 1PI
摘要：
我们从另一个流方程导出了具有自发对称性破缺的四次标量理论的重整化群演化，该方程是在Garbrecht和Millington的外部来源的两粒子不可约框架内得到的。为了与标准Wetterich-Morris-Ellwanger方程的演化进行直接比较，我们采用Litim调节器，在导数展开中工作到最低阶，忽略异常标度。通过这种方式，我们说明了所得到的阈值和（非微扰）β函数的解析表达式之间的主要差异。在四维空间中，我们发现，与标准方法相比，势极小值和宇宙学常数的位置随着尺度的变化而变化得更快，而四次耦合的变化则更慢，尽管变化幅度很小。这些差异可能会影响渐近安全计划，以及我们对标准模型希格斯扇区的非微扰尺度演化的理解。
英文摘要：
We derive the renormalization group evolution of the quartic scalar theory with spontaneous symmetry breaking from an alternative flow equation, obtained within the externally sourced two-particle irreducible framework due to Garbrecht and Millington. In order to make a straightforward comparison with the evolution from the standard Wetterich-Morris-Ellwanger equation, we employ the Litim regulator, work to lowest order in the derivative expansion and neglect anomalous scaling. By this means, we illustrate the leading differences between analytic expressions for the resulting threshold and (non-perturbative) beta functions. In four dimensions, we find that the positions of the potential minima and the cosmological constant evolve more rapidly with scale compared to the standard approach, whereas the quartic coupling evolves more slowly, albeit by a small amount. These differences may have implications for the asymptotic safety programme, as well as our understanding of the non-perturbative scale evolution of the Standard Model Higgs sector.
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