Off-shell effects and consistency of many-body treatments of dense matter

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    Abstract

    Effective field theory requires all observables to be independent of the representation used for the quantum field operators. It means that off-shell properties of the interactions should not lead to any observable effects. We analyze this issue in the context of many-body approaches to nuclear matter, where it should be possible to shift the contributions of lowest order in purely off-shell two-body interactions into three-body forces. We show that none of the commonly used truncations of the two-body scattering amplitude such as the ladder, Brueckner-Hartree-Fock, or parquet approximations respect this requirement.
    Original languageEnglish
    Pages (from-to)313011-313015
    Number of pages4
    JournalPhysical Review C - Nuclear Physics
    Volume67
    Issue number3
    DOIs
    Publication statusPublished - 1 Mar 2003

    Keywords

    • Nuclear matter (dense; off-shell effects and consistency of many-body approaches to dense matter); Nuclear field theory (effective; off-shell effects and consistency of many-body approaches to dense matter in relation to); Nuclear model (many-body; off-shell effects and consistency of many-body approaches to dense matter); Nuclear force (three-body; off-shell effects and consistency of many-body approaches to dense matter in relation to)

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