论文标题
在两个循环的猝灭无序膜中的皱纹过渡
Wrinkling transition in quenched disordered membranes at two loops
论文作者
论文摘要
一个人通过在其上部临界尺寸附近进行的两循环的弱耦合计算来调查猝灭无序聚合膜的平坦相位，$ d_ {uc} = 4 $，从而推广了Morse，Lubensky和grest的单循环计算。 Rev. A 45，R2151（1992），物理。 Rev. A 46，1751（1992）]。我们的工作证实了有限温度，有限端，起皱过渡的存在，该过渡最近已由Coquand等人确定。 [物理。 Rev E 97，030102（2018）]使用非扰动重新归一化组方法。人们还指出了两循环计算中的歧义性，以防止与皱纹过渡相关的新型固定点的性质确切识别，这很可能需要三环订单方法。
One investigates the flat phase of quenched disordered polymerized membranes by means of a two-loop, weak-coupling computation performed near their upper critical dimension $D_{uc} = 4$, generalizing the one-loop computation of Morse, Lubensky and Grest [Phys. Rev. A 45, R2151 (1992), Phys. Rev. A 46, 1751 (1992)]. Our work confirms the existence of the finite-temperature, finite-disorder, wrinkling transition, which has been recently identified by Coquand et al. [Phys. Rev E 97, 030102 (2018)] using a nonperturbative renormalization group approach. One also points out ambiguities in the two-loop computation that prevent the exact identification of the properties of the novel fixed point associated with the wrinkling transition, which very likely requires a three-loop order approach.
