Distribution function of the endpoint fluctuations of one-dimensional   directed polymers in a random potential
  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. 
Victor Dotsenko
cond-mat.stat-mech math-ph math.MP