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28 March 2024
 
  » arxiv » hep-th/9910262

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Scaling Behaviors of Branched Polymers
Hajime Aoki ; Satoshi Iso ; Hikaru Kawai ; Yoshihisa Kitazawa ;
Date 1 Nov 1999
Journal Phys.Rev. E62 (2000) 6260-6269
Subject hep-th cond-mat hep-lat
AbstractWe study the thermodynamic behavior of branched polymers. We first study random walks in order to clarify the thermodynamic relation between the canonical ensemble and the grand canonical ensemble. We then show that correlation functions for branched polymers are given by those for $phi^3$ theory with a single mass insertion, not those for the $phi^3$ theory themselves. In particular, the two-point function behaves as $1/p^4$, not as $1/p^2$, in the scaling region. This behavior is consistent with the fact that the Hausdorff dimension of the branched polymer is four.
Source arXiv, hep-th/9910262
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