Chiral condensate at finite density using the chiral Ward identity

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To study partial restoration of the chiral symmetry at finite density, we investigate the density corrections of the chiral condensate up to the next-to-leading order of density expansion using the chiral Ward identity and an in-medium chiral perturbation theory. In our study, we assume that all the in-vacuum quantities for the pion, the nucleon, and the πN interaction are determined in vacuum and focus on density expansion of the in-medium physical quantities. We perform diagrammatic analysis of the correlation functions which provide the in-medium chiral condensate. This density expansion scheme shows that the medium effect to the chiral condensate beyond the linear density comes from density corrections to the πN σ term as a result of the interactions between pion and nucleon in nuclear matter. We also discuss that higher-density contributions beyond the order of ρ2 cannot be fixed only by the in-vacuum πN dynamics and we encounter divergence in the calculation of the ρ2-order corrections of the chiral condensate. To remove the divergence, we need NN two-body contact interaction, which can be fixed in vacuum.

Journal

  • Physical Review C

    Physical Review C 88 (6), 065204-, 2013-12-19

    American Physical Society

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