High-precision determination of the critical exponent γ for self-avoiding walks

We consider three-dimensional self-avoiding walks. We compute the exponent {γ} that controls the asymptotic behavior of the number of walks going from the origin to any lattice point in N steps. We get γ=1.1575±0.0006 in agreement with renormalization-group predictions. Earlier Monte Carlo and exact-enumeration determinations are now seen to be biased by corrections to scaling.