Scaling properties of (2+1) directed polymers in the low temperature limit

Victor Dotsenko

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arXiv · 2406.07998

Scaling properties of (2+1) directed polymers in the low temperature limit

Victor Dotsenko

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Abstract

In terms of the replica method we consider the low temperature limit of (2+1) directed polymers in a random potential. The proposed approach allows to compute the scaling exponent $θ$ of the free energy fluctuations as well as the left tail of its probability distribution function. It is argued that $θ= 1/4$ which is slightly different from the zero-temperature numerical value which is close to $0.241$.

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Victor Dotsenko. 2024-06-12. Scaling properties of (2+1) directed polymers in the low temperature limit. https://arxiv.org/abs/2406.07998

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