English

Branched Polymer Revisited

High Energy Physics - Theory 2009-10-31 v1 Condensed Matter

Abstract

We show that correlation functions for branched polymers correspond to those for ϕ3\phi^3 theory with a single mass insertion, not those for the ϕ3\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.

Keywords

Cite

@article{arxiv.hep-th/9909060,
  title  = {Branched Polymer Revisited},
  author = {Hajime Aoki and Satoshi Iso and Hikaru Kawai and Yoshihisa Kitazawa},
  journal= {arXiv preprint arXiv:hep-th/9909060},
  year   = {2009}
}