Z4-symmetric perturbations to the XY model from functional renormalization

The dataset contains the renormalization group flow equations used to acquire the results discussed in the linked article. Each of the 12 datafiles contains a complete set of equations valid in a specific approximation scheme.The presented flow equations describe the behaviour of the O(2) model with cubic (Z4-symmetric) perturbations. They are derived within the one-particle-irreducible variant of the nonperturbative renormalization group based on the Wetterich equation. We employ the derivative expansion at the leading and the next-to-leading orders and offer two alternative approaches to describe the effects of the cubic anisotropy.Read the readme file for the instructions on how to extract the equations. For the methodological details please refer to the linked article.

该数据集包含用于获取关联文章中所讨论结果的重整化群流方程（renormalization group flow equations）。12个数据文件中的每一个均包含一套完整的方程，这些方程在特定近似方案下有效。所呈现的流方程描述了带有三次（Z4对称）扰动的O(2)模型的行为。它们是在基于韦特里希方程（Wetterich equation）的非微扰重整化群（nonperturbative renormalization group）的单粒子不可约变体框架内推导得出的。我们采用领头阶和次领头阶的导数展开（derivative expansion），并提供两种替代方法来描述三次各向异性的效应。有关提取方程的说明，请参阅readme文件；方法学细节请参考关联文章。