淬火无序膜在两圈处的褶皱转变
Wrinkling transition in quenched disordered membranes at two loops
摘要：
一种是通过在其上临界尺寸$D_{uc} = 4$附近进行的双回路弱耦合计算来研究淬灭无序聚合膜的平坦相，推广了Morse、Lubensky和Grest的单回路计算[Phys.Rev.A45，R2151（1992），Phys.Rev.A46，1751（1992）]。我们的工作证实了有限温度、有限无序、无规转变的存在，Coquand等人最近使用非微扰重整化群方法[Phys. Rev E 97，030102（2018）]发现了这一点。一个还指出，在两个循环的计算，防止准确识别的新的固定点的属性与dalling过渡，这很可能需要一个三循环顺序的方法。
英文摘要：
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.
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