Branched Polymers Revisited | Zendy

Hajime Aoki | Zendy; Satoshi Iso | Zendy; H. Kawai | Zendy; Yoshihisa Kitazawa | Zendy

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Branched Polymers Revisited

Author(s) -

Hajime Aoki,

Satoshi Iso,

H. Kawai,

Yoshihisa Kitazawa

Publication year - 2000

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.104.877

Subject(s) - physics , polymer , correlation function (quantum field theory) , hausdorff dimension , function (biology) , dimension (graph theory) , statistical physics , pure mathematics , quantum mechanics , mathematics , nuclear magnetic resonance , evolutionary biology , dielectric , biology

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

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