Systematic Field Theory of the RNA Glass Transition

François David1, Kay Jörg Wiese2
1SPhT-Service de Physique Théorique, CEA/Saclay - 91191 Gif-sur-Yvette Cedex, France
2CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 24 rue Lhomond, 75005 Paris, France

Abstract

We prove that the Laessig-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 to prove some exact exponent identities, conjectured in LW.


q-bio.BM/0607044 [pdf]
Phys. Rev. Lett. 98 (2007) 128102 [pdf]


Copyright (C) by Kay Wiese. Last edited March 17, 2008.