论文标题
功能重新归一化组的调节依赖性:定量解释
The regulator dependence in the functional renormalization group: a quantitative explanation
论文作者
论文摘要
搜索受控近似以研究强烈耦合系统仍然是一个非常普遍的开放问题。威尔逊的重新归一化小组已证明是实施超越扰动理论的近似值的理想框架。特别是,在这种情况下,使用最多的近似方案,最近显示出衍生物扩展可以收敛并产生准确且非常精确的结果。但是,这种收敛在很大程度上取决于使用的调节器的形状。在这封信中,我们阐明了这种依赖性的原因,并同时证明了修复这种依赖性的最大程度的程序,即最低敏感性的原理。
The search of controlled approximations to study strongly coupled systems remains a very general open problem. Wilson's renormalization group has shown to be an ideal framework to implement approximations going beyond perturbation theory. In particular, the most employed approximation scheme in this context, the derivative expansion, was recently shown to converge and yield accurate and very precise results. However, this convergence strongly depends on the shape of the employed regulator. In this letter we clarify the reason for this dependence and justify, simultaneously, the most largely employed procedure to fix this dependence, the principle of minimal sensitivity.