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EPL
Volume 90, Issue 2, Pages -Publisher
EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
DOI: 10.1209/0295-5075/90/20003
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The distribution function of the free-energy fluctuations in one-dimensional directed polymers with delta-correlated random potential is studied by mapping the replicated problem to a many-body quantum boson system with attractive interactions. Performing the summation over the entire spectrum of excited states the problem is reduced to the Fredholm determinant with the Airy kernel which is known to yield the Tracy-Widom distribution. Copyright (C) EPLA, 2010
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