Operator product expansion coefficients from the nonperturbative functional renormalization group
Operator product expansion coefficients from the nonperturbative functional renormalization group
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DOI：
10.1103/physrevd.105.065020
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发表时间：
2021-10
影响因子：
5
通讯作者：
F. Rose;C. Pagani;N. Dupuis
中科院分区：
文献类型：
--
作者：
F. Rose;C. Pagani;N. Dupuis
使用 Blaizot-M\'endez-Galain-Wschebor 近似中的非微扰函数重整化群 (FRG)，我们计算与三维 $\mathrm{O}(N)$ 通用性中的算子 $\mathcal{O}_1\sim\varphi$ 和 $\mathcal{O}_2\sim\varphi^2$ 相关的算子乘积展开 (OPE) 系数 $c_{112}$类以及维度 $2 \leq d \leq 4$ 中的 Ising 普适类 ($N=1$)。如果可用，来自保形自举和蒙特卡罗模拟的精确结果和估计与我们的结果非常吻合，而 FRG 能够提供所考虑的整个 $d$ 和 $N$ 范围内的值。
Using the nonperturbative functional renormalization group (FRG) within the Blaizot-M\'endez-Galain-Wschebor approximation, we compute the operator product expansion (OPE) coefficient $c_{112}$ associated with the operators $\mathcal{O}_1\sim\varphi$ and $\mathcal{O}_2\sim\varphi^2$ in the three-dimensional $\mathrm{O}(N)$ universality class and in the Ising universality class ($N=1$) in dimensions $2 \leq d \leq 4$. When available, exact results and estimates from the conformal bootstrap and Monte-Carlo simulations compare extremely well to our results, while FRG is able to provide values across the whole range of $d$ and $N$ considered.