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}
}
  • V. Dotsenko
  • Published 2012
  • Mathematics, Physics
  • Journal of Statistical Mechanics: Theory and Experiment
  • 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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