Branched Polymer Revisited

Abstract

We show that correlation functions for branched polymers correspond to those for ${\varphi }^3$ theory with a single mass insertion, not those for the ${\varphi }^3$ 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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