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Article Dans Une Revue Physical Review Letters Année : 2018

Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions

Takahiro Ohgoe
  • Fonction : Auteur
Felix Werner

Résumé

We demonstrate that a summing up series of Feynman diagrams can yield unbiased accurate results for strongly correlated fermions even when the convergence radius vanishes. We consider the unitary Fermi gas, a model of nonrelativistic fermions in three-dimensional continuous space. Diagrams are built from partially dressed or fully dressed propagators of single particles and pairs. The series is resummed by a conformal-Borel transformation that incorporates the large-order behavior and the analytic structure in the Borel plane, which are found by the instanton approach. We report highly accurate numerical results for the equation of state in the normal unpolarized regime, and reconcile experimental data with the theoretically conjectured fourth virial coefficient.
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Dates et versions

hal-01730049 , version 1 (20-01-2022)

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Riccardo Rossi, Takahiro Ohgoe, Kris van Houcke, Felix Werner. Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions. Physical Review Letters, 2018, 121 (13), pp.130405. ⟨10.1103/PhysRevLett.121.130405⟩. ⟨hal-01730049⟩
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