Real Space Renormalization-Group for Configurational Random Walk Models on a Hierarchical Lattice. The Asymptotic End-to-End Distance of a Weakly SARW in Dimension Four

Details Real Space Renormalization-Group for Configurational Random Walk Models on a Hierarchical Lattice. The Asymptotic End-to-End Distance of a Weakly SARW in Dimension Four Real Space Renormalization-Group for Configurational Random Walk Models on a Hierarchical Lattice. The Asymptotic End-to-End Distance of a Weakly SARW in Dimension Four

1995-08-02

arxiv.org/abs/hep-th/9508008v1

Physics

High Energy Physics

High Energy Physics - Theory

39 pages + 4 figures, LaTex

Scientific paper

We present a real space renormalization-group map for probabilities of random
walks on a hierarchical lattice. From this, we study the asymptotic behavior of
the end-to-end distance of a weakly self- avoiding random walk (SARW) that
penalizes the (self-)intersection of two random walks in dimension four on the
hierarchical lattice.

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