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arXiv · hep-th/9607081

Branched polymers on branched polymers

Bergfinnur Durhuus·Thordur Jonsson
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Abstract

We study an ensemble of branched polymers which are embedded on other branched polymers. This is a toy model which allows us to study explicitly the reaction of a statistical system on an underlying geometrical structure, a problem of interest in the study of the interaction of matter and quantized gravity. We find a phase transition at which the embedded polymers begin to cover the basis polymers. At the phase transition point the susceptibility exponent $γ$ takes the value 3/4 and the two-point function develops an anomalous dimension 1/2.

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Bergfinnur Durhuus, Thordur Jonsson. 1996-07-10. Branched polymers on branched polymers. https://doi.org/10.1142/s0217732396002356

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