Effective field theory for dilute Fermi systems at fourth order

Wellenhofer, C.; Drischler, C.; Schwenk, A.

doi:10.1103/PhysRevC.104.014003

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Effective field theory for dilute Fermi systems at fourth order

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Schwenk, A.
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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https://journals.aps.org/prc/pdf/10.1103/PhysRevC.104.014003
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Citation

Wellenhofer, C., Drischler, C., & Schwenk, A. (2021). Effective field theory for dilute Fermi systems at fourth order. Physical Review C, 104(1): 014003. doi:10.1103/PhysRevC.104.014003.

Cite as: https://hdl.handle.net/21.11116/0000-0009-0720-B

Abstract

We discuss high-order calculations in perturbative effective field theory for fermions at low energy scales. The Fermi-momentum or k_Fa_s expansion for the ground-state energy of the dilute Fermi gas is calculated to fourth order, both in cutoff regularization and in dimensional regularization. For the case of spin one-half fermions we find from a Bayesian analysis that the expansion is well converged at this order for |k_Fa_s|≲0.5. Furthermore, we show that Padé-Borel resummations can improve the convergence for |k_Fa_s|≲1. Our results provide important constraints for nonperturbative calculations of ultracold atoms and dilute neutron matter.