A Calogero-Sutherland Type Model For Branched Polymers

Details A Calogero-Sutherland Type Model For Branched Polymers A Calogero-Sutherland Type Model For Branched Polymers

1995-12-27

arxiv.org/abs/cond-mat/9512173v1

Mod.Phys.Lett. A11 (1996) 1357-1361

Physics

Condensed Matter

6 pages, no figures

Scientific paper

We show that a Calogero-Sutherland type model with anharmonic interactions of fourth and sixth orders leads to the matrix model corresponding to the branched polymers. We also show that by suitably modifying this model one can also obtain N-particle problems which are connected to matrix models corresponding to the pure gravity phase as well as corresponding to the transition point between the soap bubble and the branched polymer phase.

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