Publication : t06/069

Systematic Field Theory of the RNA Glass Transition

David F. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Wiese K.J. (Laboratoire de Physique Théorique (LPT), Ecole Normale Supérieure (ENS), 24 rue Lhomond, F-75005 Paris, FRANCE)

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 to prove some exact exponent identities, conjectured in LW.

Année de publication : 2007
Revue : Phys. Rev. Lett. 98 128102-1-128102-4 (2007)
DOI : 10.1103/PhysRevLett.98.128102
Preprint : arXiv:q-bio.BM/0607044
Lien : http://link.aps.org/abstract/PRL/v98/e128102
PACS : 87.15.Cc, 64.70.Pf, 05.70.Jk
Keywords : Subj-class: Biomolecules; Disordered Systems and Neural Networks
Numéro Exterieur : LPTENS06/30
Langue : Anglais

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