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Effective Field Theory for Dilute Fermi Systems

H. -W. Hammer·R. J. Furnstahl
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Abstract

The virtues of an effective field theory (EFT) approach to many-body problems are illustrated by deriving the expansion for the energy of an homogeneous, interacting Fermi gas at low density and zero temperature. A renormalization scheme based on dimensional regularization with minimal subtraction leads to a more transparent power-counting procedure and diagrammatic expansion than conventional many-body approaches. Coefficients of terms in the expansion with logarithms of the Fermi momentum are determined by the renormalization properties of the EFT that describes few-body scattering. Lessons for an EFT treatment of nuclear matter are discussed.

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H. -W. Hammer, R. J. Furnstahl. 2000-10-23. Effective Field Theory for Dilute Fermi Systems. https://doi.org/10.1016/s0375-9474(00)00325-0

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