Sharp asymptotic -f(beta) ≍ exp(-pi/sigma^2(beta)) for the 2D directed polymer quenched free energy as beta ↓ 0.
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Sharp behavior of the free energy for the two-dimensional directed polymer model
Sharp asymptotic -f(beta) ≍ exp(-pi/sigma^2(beta)) for the 2D directed polymer quenched free energy as beta ↓ 0.