Two-point free energy distribution function in (1+1) directed polymers

TL;DR

This paper derives an explicit two-point free energy distribution function for (1+1) directed polymers using Bethe ansatz, providing a simpler derivation that confirms previous results by Prolhac and Spohn.

Contribution

It presents a simplified derivation of the two-point free energy distribution function in (1+1) directed polymers using Bethe ansatz, confirming earlier findings.

Findings

Explicit two-point free energy distribution function derived

Method simplifies previous derivations

Results consistent with earlier work by Prolhac and Spohn

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.