论文标题
淬灭无序的膜的平坦相处以三环阶
Flat phase of quenched disordered membranes at three-loop order
论文作者
论文摘要
我们通过在尺寸$ d = 4-ε$的三环扰动分析中研究了平坦的淬火聚合膜。我们在此订单下得出重新归一化组方程，并将它们求解至$ε^3 $。我们的结果证实了Coquand等人获得的结果。在非扰动方法中[物理学。 Rev. E 97，030102（r）（2018）]预测有限温度，有限的皱纹过渡，以及Coquand和Mouhanna在最近的两循环订单方法中获得的转变[Phys。 Rev. E 103，L031001（2021）]，同时纠正了最后一个参考中获得的一些结果。我们计算在重新归一化组流程图的各个固定点上表征缩放行为的异常尺寸。他们似乎与在非扰动背景下预测的人保持着强烈的同意。
We study quenched disordered polymerized membranes in their flat phase by means of a three-loop perturbative analysis performed in dimension $D = 4-ε$. We derive the renormalization group equations at this order and solve them up to order $ε^3$. Our results confirm those obtained by Coquand et al. within a nonperturbative approach [Phys. Rev. E 97, 030102(R) (2018)] predicting a finite-temperature, finite-disorder wrinkling transition and those obtained by Coquand and Mouhanna within a recent two-loop order approach [Phys. Rev. E 103, L031001 (2021)], while correcting some of the results obtained in this last reference. We compute the anomalous dimensions that characterize the scaling behavior at the various fixed points of the renormalization group flow diagram. They appear to be in strong agreement with those predicted within the nonperturbative context.
