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

1996/03/31 by M. Kirchbach, Mariana Kirchbach, Andreas Wirzba +1 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1016/0375-9474(96)00154-6

published as Nucl.Phys. A604 (1996) 395-405 · replaced with published version; 16 pages, LaTeX{revtex}, no figures

openalex publication_date 1996/07/01 · arxiv created 1996/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

The generating functional of heavy baryon chiral perturbation theory at order O(Q²) 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.

Citations

• Structure of Phenomenological Lagrangians. I

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• In-medium pion weak decay constants