Flat phase of quenched disordered membranes at three-loop order.

  title={Flat phase of quenched disordered membranes at three-loop order.},
  author={S{\'e}bastien M{\'e}tayer and D. Mouhanna},
  journal={Physical review. E},
  volume={106 6-1},
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)PREHBM2470-004510.1103/PhysRevE.97.030102] predicting a finite-temperature, finite-disorder wrinkling transition and those obtained by… 
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