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- W3100140897 abstract "The anomalous exponent, $eta_{p}$, for the decay of the reunion probability of $p$ vicious walkers, each of length $N$, in $d$ $(=2-epsilon)$ dimensions, is shown to come from the multiplicative renormalization constant of a $p$ directed polymer partition function. Using renormalization group(RG) we evaluate $eta_{p}$ to $O(epsilon^2)$. The survival probability exponent is $eta_{p}/2$. For $p=2$, our RG is exact and $eta_p$ stops at $O(epsilon)$. For $d=2$, the log corrections are also determined. The number of walkers that are sure to reunite is 2 and has no $epsilon$ expansion." @default.
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- W3100140897 date "1993-11-21" @default.
- W3100140897 modified "2023-10-18" @default.
- W3100140897 title "Reunion of vicious walkers: Results from epsilon -expansion" @default.
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- W3100140897 doi "https://doi.org/10.1088/0305-4470/26/22/002" @default.
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