Branched Polymer Revisited

Details Branched Polymer Revisited Branched Polymer Revisited

1999-09-10

arxiv.org/abs/hep-th/9909060v1

Prog.Theor.Phys. 104 (2000) 877-886

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1143/PTP.104.877

We show that correlation functions for branched polymers correspond to those
for $\phi^3$ theory with a single mass insertion, not those for the $\phi^3$
theory themselves, as has been widely believed. In particular, the two-point
function behaves as 1/p^4, not as 1/p^2. This behavior is consistent with the
fact that the Hausdorff dimension of the branched polymer is four.

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