论文标题
更好的积分器用于功能重新归一化组计算
Better Integrators for Functional Renormalization Group Calculations
论文作者
论文摘要
我们分析了各种整合方案，用于动量空间功能重新归一化组计算，目的是找到优化的方案。使用Square Lattice $ t-t'$ Hubbard型号作为测试台，我们定义并基准了质量。最值得注意的是，我们为普通微分方程的解决方案定义了一个误差估计，该方程规定了FRG流量末尾引入的问题。使用此措施来控制准确性，我们发现可以通过选择集成器来实现所需的集成步骤的数量减少了三倍。我们在此为功能重新归一化组发布了一组推荐选择，这些选择可降低FRG计算的计算成本，并代表进一步研究的宝贵基础。
We analyze a variety of integration schemes for the momentum space functional renormalization group calculation with the goal of finding an optimized scheme. Using the square lattice $t-t'$ Hubbard model as a testbed we define and benchmark the quality. Most notably we define an error estimate of the solution for the ordinary differential equation circumventing the issues introduced by the divergences at the end of the FRG flow. Using this measure to control for accuracy we find a threefold reduction in number of required integration steps achievable by choice of integrator. We herewith publish a set of recommended choices for the functional renormalization group, shown to decrease the computational cost for FRG calculations and representing a valuable basis for further investigations.
