Distribution function of the endpoint fluctuations of one-dimensional directed polymers in a random potential
Victor Dotsenko
TL;DR
This paper derives an explicit probability distribution for the endpoint fluctuations of 1D directed polymers in a random potential using Bethe ansatz and quantum boson system mapping.
Contribution
It provides a novel explicit expression for the endpoint fluctuation distribution using advanced mathematical techniques.
Findings
Explicit distribution function derived
Mapping to quantum boson system established
Analytical results enhance understanding of directed polymers
Abstract
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.
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