Effective field theory for dilute Fermi systems. Hammer, H. W. & Furnstahl, R. J. *Nuclear Physics A*, 678(3):277–294, 2000. doi abstract bibtex 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. \textcopyright 2000 Elsevier Science B.V.

@article{Hammer2000,
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. {\textcopyright} 2000 Elsevier Science B.V.},
archivePrefix = {arXiv},
arxivId = {nucl-th/0004043},
author = {Hammer, H. W. and Furnstahl, R. J.},
doi = {10.1016/S0375-9474(00)00325-0},
eprint = {0004043},
issn = {03759474},
journal = {Nuclear Physics A},
keywords = {05.30.Fk,07.10.Ca,11.10.Hi,21.65.+f,Dilute Fermi system,Effective field theory,Nuclear matter,Renormalization},
number = {3},
pages = {277--294},
primaryClass = {nucl-th},
title = {{Effective field theory for dilute Fermi systems}},
volume = {678},
year = {2000}
}

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