title: Crumpling transition and flat phase of polymerized phantom membranes.
abstract: Polymerized phantom membranes are revisited using a nonperturbative renormalization-group approach. This allows one to investigate both the crumpling transition and the low-temperature flat phase in any internal dimension D and embedding dimension d and to determine the lower critical dimension. The crumpling phase transition for physical membranes is found to be of second order within our approximation. A weak first-order behavior, as observed in recent Monte Carlo simulations, is however not excluded.
authors.affiliation: LPTM, CNRS UMR 8089, Université de Cergy-Pontoise, 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, France. kownacki@u-cergy.fr
authors.forename: J-P
authors.initials: JP
authors.lastname: Kownacki
authors.forename: D
authors.initials: D
authors.lastname: Mouhanna