Replica Bethe ansatz derivation of the GOE Tracy-Widom distribution in
one-dimensional directed polymers with free boundary conditions [PDF]
Victor DotsenkoThe distribution function of the free energy fluctuations in one-dimensional directed polymers with free boundary conditions is derived by mapping the replicated problem to the N-particle quantum boson system with attractive interactions. It is shown that in the thermodynamic limit this function is described by the universal Tracy-Widom distribution of the Gaussian orthogonal ensemble.View original: http://arxiv.org/abs/1209.3603
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