Volume 134, Number 4, June 2021
|Number of page(s)||6|
|Published online||27 July 2021|
On the scaling properties of (2 + 1) directed polymers in the high-temperature limit
1 LPTMC, Sorbonne Université - Paris, France
2 L.D. Landau Institute for Theoretical Physics - Moscow, Russia
3 Joint Institute for High Temperatures, Russian Academy of Sciences - Moscow, Russia
Received: 20 February 2021
Accepted: 19 March 2021
In this paper in terms of the replica method we consider the high-temperature limit of () directed polymers in a random potential and propose an approach which 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 which is different from the zero-temperature numerical value which is close to 0.241. This result implies that unlike the system in the two-dimensional case the free energy scaling exponent is non-universal being temperature dependent.
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