2006/07/25 by François David, Francois David, Kay Jörg Wiese +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #RNA Research and Splicing #RNA and protein synthesis mechanisms #RNA modifications and cancer #cond-mat.dis-nn #q-bio.BM
paper · pdf · doi:10.1103/physrevlett.98.128102
published as Phys. Rev. Lett. 98 (2007) 128102 · 4 pages
arxiv created 2006/07/25 · openalex publication_date 2007/03/20 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.