RNA Folding and Large N Matrix Theory

Details RNA Folding and Large N Matrix Theory RNA Folding and Large N Matrix Theory

2001-06-18

arxiv.org/abs/cond-mat/0106359v2

Nucl.Phys. B620 (2002) 456-476

Physics

Condensed Matter

Statistical Mechanics

29 pages (LaTex), 13 figures (eps). Missing paragraph and figure added

Scientific paper

10.1016/S0550-3213(01)00522-3

We formulate the RNA folding problem as an $N\times N$ matrix field theory. This matrix formalism allows us to give a systematic classification of the terms in the partition function according to their topological character. The theory is set up in such a way that the limit $N\to \infty$ yields the so-called secondary structure (Hartree theory). Tertiary structure and pseudo-knots are obtained by calculating the $1/N^2$ corrections to the partition function. We propose a generalization of the Hartree recursion relation to generate the tertiary structure.

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