1993/11/03 by Sutapa Mukherji, S Mukherji, Somendra M. Bhattacharjee +1 · 4 citations
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1088/0305-4470/26/22/002
No of pages: 11, 1figure on request, Revtex3,IP/BBSR/9297
arxiv created 1993/11/03 · openalex publication_date 1993/11/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The anomalous exponent, ηp, for the decay of the reunion probability of p vicious walkers, each of length N, in d (=2-ε) dimensions, is shown to come from the multiplicative renormalization constant of a p directed polymer partition function. Using renormalization group(RG) we evaluate ηp to O(ε2). The survival probability exponent is ηp/2. For p=2, our RG is exact and ηp stops at O(ε). For d=2, the log corrections are also determined. The number of walkers that are sure to reunite is 2 and has no ε expansion.