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Weak-Coupling Limit of the Lattice Nonlinear Schrödinger Integral Equation
exactly-solvable-and-integrable-systemshigh-energy-physics-theorymathematical-physicsstatistical-mechanics
We study the ground-state integral equation of the quantum lattice nonlinear Schrödinger model, equivalently the isotropic Heisenberg XXX chain at spin $s = -1$, whose solution is the root density on a Fermi interval. In the weak-coupling limit the equation is doubly singular: the driving term and t
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