Deriving the quark condensate within a finite Fermi system from the generating functional of chiral perturbation theory

Abstract

The generating functional of heavy baryon chiral perturbation theory at order O(Q^2) in the mean field approximation (with a pseudoscalar source coupling which is consistent with the PCAC-Ward identities on the current quark level) has been exploited to derive Migdal's in--medium pion propagator. It is shown that the prediction for the density dependence of the quark condensate obtained on the composite hadron level by embedding PCAC within the framework of Migdal's approach to finite Fermi systems is identical to that resulting from QCD.

replaced with published version; 16 pages, LaTeX{revtex}, no figures

References in corpus (4)

• From Kaon-Nuclear Interactions to Kaon Condensation
• Chiral Corrections to the S-Wave Pion-Nucleon Scattering Lengths
• S-wave Meson-Nucleon Interactions and the Meson Mass in Nuclear Matter from Chiral Effective Lagrangians
• Chiral symmetry in nuclei: partial restoration and its consequences

Cited by in corpus (13)

• Modern Theory of Nuclear Forces
• In-medium chiral perturbation theory beyond the mean-field approximation
• In-Medium Chiral Perturbation Theory and Pion Weak Decay in the Presence of Background Matter
• The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order
• The Pion Velocity in Dense Skyrmion Matter
• Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions
• The s-wave pion-nucleus optical potential
• Evaluation of the $\pi \pi$ scattering amplitude in the $\sigma$-channel at finite density
• S-wave pion condensation in symmetric nuclear matter
• Pion weak decay constant at finite density from the instanton vacuum
• Chiral Perturbation Theory in a Nuclear Background
• In-medium pion weak decay constants
• Virtual Pion Scattering