Weak-Coupling Limit of the Lattice Nonlinear Schrödinger Integral Equation
This paper investigates the weak-coupling limit of the lattice nonlinear Schrödinger integral equation by employing matched asymptotic expansions to derive the ground-state energy and density, revealing a logarithmic divergence linked to the Bose-Einstein distribution and uncovering a resurgent transseries structure through Wiener-Hopf analysis.