Dilute Fermi gas at fourth order in effective field theory
2020
Abstract Using effective field theory methods, we calculate for the first time the complete fourth-order term in the Fermi-momentum or k 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 F a s | ≲ 0.5 .
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