On the ground state energy of the delta-function Fermi gas

Abstract

The weak coupling asymptotics to order $\gamma$ 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.

20 pages. Version 2 corrects misprints, adds references, and improves the exposition

References in corpus (1)

• On the ground state energy of the delta-function Bose gas

Cited by in corpus (5)

• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• New renormalons from analytic trans-series
• Resurgence for superconductors
• Exact perturbative results for the Lieb-Liniger and Gaudin-Yang models
• Ground state energy of the $\delta$-Bose and Fermi gas at weak coupling from double extrapolation