Two-point free energy distribution function in (1+1) directed polymers
arXiv:1304.6571 · doi:10.1088/1751-8113/46/35/355001
Abstract
In this brief technical communication it is demonstrated how using Bethe ansatz technique the explicit expression for the two-point free energy distribution function in (1+1) directed polymers can be derived in rather simple way. Obtained result is equivalent to the one derived earlier by Prolhac and Spohn.
8 pages, 1 figure
References in corpus (7)
- Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
- An exact solution for the KPZ equation with flat initial conditions
- Correlation functions of the one-dimensional attractive Bose gas
- Directed polymer near a hard wall and KPZ equation in the half-space
- Two-point generating function of the free energy for a directed polymer in a random medium
- On the equal time two-point distribution of the one-dimensional KPZ equation by replica
- Replica Bethe ansatz derivation of the GOE Tracy-Widom distribution in one-dimensional directed polymers with free boundary conditions
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