Systematic Field Theory of the RNA Glass Transition

Details Systematic Field Theory of the RNA Glass Transition Systematic Field Theory of the RNA Glass Transition

2006-07-25

arxiv.org/abs/q-bio/0607044v1

Phys. Rev. Lett. 98 (2007) 128102

Biology

Quantitative Biology

Biomolecules

4 pages

Scientific paper

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.

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