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

TL;DR

This paper accurately computes the critical exponent gamma for three-dimensional self-avoiding walks, confirming theoretical predictions and highlighting biases in previous methods due to scaling corrections.

Contribution

It provides a high-precision estimate of gamma, demonstrating the importance of accounting for corrections to scaling in such calculations.

Findings

Gamma = 1.1575 ± 0.0006, consistent with predictions

Previous estimates were biased by scaling corrections

Supports renormalization-group theoretical results

Abstract

We compute the exponent gamma for self-avoiding walks in three dimensions. We get gamma = 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.