Victor Dotsenko
Published 2012-09-27, updated 2013-01-22Version 2
The explicit expression for the the probability distribution function of the endpoint fluctuations of 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.
Comments: 15 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1209.3603
Statistical properties of one-dimensional directed polymers in a random potential
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Replica Bethe ansatz derivation of the GOE Tracy-Widom distribution in one-dimensional directed polymers with free boundary conditions
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