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Reunion of random walkers with a long range interaction: applications to polymers and quantum mechanics

Sutapa Mukherji·Somendra M. Bhattacharjee
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Abstract

We use renormalization group to calculate the reunion and survival exponents of a set of random walkers interacting with a long range $1/r^2$ and a short range interaction. These exponents are used to study the binding-unbinding transition of polymers and the behavior of several quantum problems.

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Sutapa Mukherji, Somendra M. Bhattacharjee. 2001-12-06. Reunion of random walkers with a long range interaction: applications to polymers and quantum mechanics. https://doi.org/10.1103/physreve.63.051103

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