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

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    We use renormalization group to calculate the reunion and survival exponents of a set of random walkers interacting with a long range 1/r21/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.Comment: Revtex 3.1, 9 pages (two-column format), 3 figures. Published version (PRE 63, 051103 (2001)). Reference corrections incorporated (PRE 64, 059902 (2001) (E

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