Dilute Fermi gas at fourth order in effective field theory

C. Wellenhofer (Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany; ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany) ; C. Drischler (Department of Physics, University of California, Berkeley, United States of America; Lawrence Berkeley National Laboratory, Berkeley, United States of America) ; A. Schwenk (Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany; ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany; Max-Planck-Institut für Kernphysik, Heidelberg, Germany)

Using effective field theory methods, we calculate for the first time the complete fourth-order term in the Fermi-momentum or kFas 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 |kFas|0.5.

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        {
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      "surname": "Drischler", 
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      "surname": "Schwenk", 
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      "title": "Dilute Fermi gas at fourth order in effective field theory"
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      "value": "Using effective field theory methods, we calculate for the first time the complete fourth-order term in the Fermi-momentum or <math><msub><mrow><mi>k</mi></mrow><mrow><mi>F</mi></mrow></msub><msub><mrow><mi>a</mi></mrow><mrow><mi>s</mi></mrow></msub></math> 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 <math><mo>|</mo><msub><mrow><mi>k</mi></mrow><mrow><mi>F</mi></mrow></msub><msub><mrow><mi>a</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>|</mo><mo>\u2272</mo><mn>0.5</mn></math>."
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Published on:
27 January 2020
Publisher:
Elsevier
Published in:
Physics Letters B , Volume 802 C (2020)

Article ID: 135247
DOI:
https://doi.org/10.1016/j.physletb.2020.135247
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: