# Dilute Fermi gas at fourth order in effective field theory

@article{Wellenhofer2018DiluteFG, title={Dilute Fermi gas at fourth order in effective field theory}, author={Corbinian Wellenhofer and Christian Drischler and Achim Schwenk}, journal={arXiv: Nuclear Theory}, year={2018} }

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 renormalization of the logarithmic divergences that give rise to the nonanalytic part of the fourth-order term is discussed in detail. 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… CONTINUE READING

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