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

Sutapa Mukherji, Somendra M. Bhattacharjee
2001 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
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.
doi:10.1103/physreve.63.051103 pmid:11414883 fatcat:j5xie4mlardodmm5yujhjwqkwi