标题： 非共线磁体的泛函重整化群方法 显示英文标题

标题： Functional renormalization group approach to non-collinear magnets

摘要： 对$d$维、$N$组分、非共线磁体采用各种截断的有效作用量方法进行功能重整化群分析，以研究其长距离行为。 借助这些截断，我们研究了在$d= 2.8$和$d=4$维度之间对于各种$N$值的稳定不动点的存在性，重点关注临界值$N_c(d)$，该值对于给定维度$d$，将$N<N_c(d)$的一阶区域与$N>N_c(d)$的二阶区域分开。 我们的方法得出在物理-$N=2,3$和$d=3$-情况下不存在稳定的固定点，这与$\epsilon=4-d$展开一致，但与在固定维度上进行的先前微扰方法以及基于共形Bootstrap计划的近期方法相矛盾。 显示英文摘要

摘要： A functional renormalization group approach to $d$-dimensional, $N$-component, non-collinear magnets is performed using various truncations of the effective action relevant to study their long distance behavior. With help of these truncations we study the existence of a stable fixed point for dimensions between $d= 2.8$ and $d=4$ for various values of $N$ focusing on the critical value $N_c(d)$ that, for a given dimension $d$, separates a first order region for $N<N_c(d)$ from a second order region for $N>N_c(d)$. Our approach concludes to the absence of stable fixed point in the physical - $N=2,3$ and $d=3$ - cases, in agreement with $\epsilon=4-d$-expansion and in contradiction with previous perturbative approaches performed at fixed dimension and with recent approaches based on conformal bootstrap program.