Dilute Fermi gas at fourth order in effective field theory

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

doi:10.1016/j.physletb.2020.135247

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Dilute Fermi gas at fourth order in effective field theory

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

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https://doi.org/10.1016/j.physletb.2020.135247
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Citation

Wellenhofer, C., Drischler, C., & Schwenk, A. (2020). Dilute Fermi gas at fourth order in effective field theory. Physics Letters B, 802: 135247. doi:10.1016/j.physletb.2020.135247.

Cite as: https://hdl.handle.net/21.11116/0000-0005-A3C8-1

Abstract

Using effective field theory methods, we calculate for the first time the
complete fourth-order term in the Fermi-momentum or $k_{\rm F} a_s$ expansion
for the ground-state energy of a dilute Fermi gas. The convergence behavior of
the expansion is examined for the case of spin one-half fermions and compared
against quantum Monte-Carlo results, showing that the Fermi-momentum expansion
is well-converged at this order for $| k_{\rm F} a_s | \lesssim 0.5$.