# Bethe ansatz replica derivation of the GOE Tracy–Widom distribution in one-dimensional directed polymers with free endpoints

@article{Dotsenko2012BetheAR, title={Bethe ansatz replica derivation of the GOE Tracy–Widom distribution in one-dimensional directed polymers with free endpoints}, author={V. Dotsenko}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2012}, volume={2012}, pages={11014} }

The 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.

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