title: Systematic field theory of the RNA glass transition.
abstract: We prove that the Lässig-Wiese (LW) field theory for the freezing transition of the secondary structure of random RNA is renormalizable to all orders in perturbation theory. The proof relies on a formulation of the model in terms of random walks and on the use of the multilocal operator product expansion. Renormalizability allows us to work in the simpler scheme of open polymers, and to obtain the critical exponents at 2-loop order. It also allows us to prove some exact exponent identities, conjectured by LW.
authors.affiliation: Service de Physique Théorique, URA 2036 of CNRS, CEA Saclay, 91191 Gif sur Yvette Cedex, France.
authors.forename: Francois
authors.initials: F
authors.lastname: David
authors.forename: Kay Jörg
authors.initials: KJ
authors.lastname: Wiese
mesh_terms: D000465:Algorithms; D003460:Crystallization; D009690:Nucleic Acid Conformation; D009691:Nucleic Acid Denaturation; D012313:RNA / Q000737:chemistry* / Q000528:radiation effects; D014466:Ultraviolet Rays
chemical_list: D012313:RNA