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Dilute Fermi gas at fourth order in effective field theory

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arxiv 1812.08444 v2 pith:4B7JKB3B submitted 2018-12-20 nucl-th cond-mat.quant-gashep-ph

C. Wellenhofer , C. Drischler , A. Schwenk This is my paper · ORCID
classification nucl-thcond-mat.quant-gashep-ph
keywords expansiondiluteeffectivefermifermi-momentumfieldordertheory
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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 $| k_{\rm F} a_s | \lesssim 0.5$.

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  1. Renormalization of pionless effective field theory in the A-body sector

    nucl-th 2019-08 conditional novelty 5.0 of 10

    The paper presents a cutting procedure that maps in-medium many-body divergences to vacuum diagrams, yielding A-independent counterterms for pionless EFT, demonstrated in the random phase approximation.

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