Conformal spectra of polymers on a random surface

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Classical Statistical Mechanics, Lattice Theory And Statistics, Polymers, Elastomers, And Plastics

Scientific paper

We consider polymers (self-avoiding walks) on a randomly triangulated planar surface. The partition function of L polymer lines tied by their extremities, in a fluctuating metric, is calculated exactly. The exact infinite conformal spectra so derived are in complete agreement with the exponents found recently for 2D quantum gravity by Knizhnik, Polyakov, and Zamolodchikov.

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