title: Crumpled-to-tubule transition in anisotropic polymerized membranes: beyond the ϵ expansion.
abstract: Anisotropic D-dimensional polymerized phantom membranes are investigated within a nonperturbative renormalization group framework. One focuses on the transition between a high-temperature, crumpled phase and a low-temperature, tubular phase where the membrane is flat along one direction and crumpled along the other ones. While the upper critical dimension--D(uc)=5/2--is close to D=2, the weak-coupling perturbative approach is qualitatively and quantitatively wrong. We show that our approach is free of the problems encountered within the perturbative framework and provides physically meaningful critical quantities.
authors.affiliation: LPTMC, CNRS UMR 7600, UPMC, 4 Place Jussieu, 75252 Paris Cedex 05, France. essafi@lptmc.jussieu.fr
authors.forename: K
authors.initials: K
authors.lastname: Essafi
authors.forename: J-P
authors.initials: JP
authors.lastname: Kownacki
authors.forename: D
authors.initials: D
authors.lastname: Mouhanna