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Three roads to the energy gap

Marcos Marino, Tomas Reis

30/10/20 Published in : arXiv:2010.16174

We determine analytically the energy gap at weak coupling in the attractive multi-component Gaudin--Yang model, an integrable model which describes interacting fermions in one dimension with /kappa components. We use three different methods. The first one is based on a direct analysis of the Bethe ansatz equations. The second method uses the theory of resurgence and the large order behavior of the perturbative series for the ground state energy. The third method is based on a renormalization group analysis. The three methods lead to the same answer, providing in this way a non-trivial test of the ideas of resurgence and renormalons as applied to non-relativistic many-body systems.

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Phase I & II research project(s)

  • String Theory
  • Geometry, Topology and Physics

Canonical Cauchy sequences for real numbers

ATHENA -- a pre-university study programme at the university of Geneva

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