Branched polymers on branched polymers

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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uuencoded 9 p. ps-file + 2 ps-figures

Scientific paper

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 $\gamma$ takes the value 3/4 and the two-point function develops an anomalous dimension 1/2.

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