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

Abstract

The explicit expression for the two-time free energy distribution function in one-dimensional directed polymers in random potential is derived in terms of the Bethe ansatz replica technique by mapping the replicated problem to the $N$-particle quantum boson system with attractive interactions.

16 pages, 2 figures

References in corpus (5)

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• Correlation functions of the one-dimensional attractive Bose gas
• Directed polymer near a hard wall and KPZ equation in the half-space
• On the joint distribution of the maximum and its position of the Airy2 process minus a parabola

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