On the ground state energy of the delta-function Fermi gas
Craig A. Tracy, Harold Widom
The weak coupling asymptotics to order γ of the ground state energy of the delta-function Fermi gas, derived heuristically in the literature, is here made rigorous. Further asymptotics are in principle computable. The analysis applies to the Gaudin integral equation, a method previously used by one of the authors for the asymptotics of large Toeplitz matrices.
arXiv:1604.02440•Journal of Mathematical Physics•Oct 1, 2016•14 citations