In-Medium Pion Properties from Chiral Perturbation Theory

1996/09/09 by M. Kirchbach, Kirchbach, M., A. Wirzba +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · doi:10.48550/arxiv.hep-ph/9609291

openalex publication_date 1996/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

Two-point functions related to the pion weak decay constant f_π are calculated from the generating functional of chiral perturbation theory in the mean field approximation and the heavy-baryon limit. The aim is to demonstrate that Lorentz invariance is violated in the presence of background matter. This fact manifests itself in the splitting of both f_π and the pion mass into uncorrelated time- and space-like parts. We emphasize the different in-medium renormalizations of the correlation functions, show the inequivalence between the in-medium values of f_π deduced from Walecka-type models, on the one hand, and QCD sum rules, on the other hand, and elaborate on the importance for some nuclear physics observables.

Related

• Pion properties in isospin-asymmetric nuclear matter using in-medium chiral perturbation theory
• In-medium effective chiral lagrangians and the pion mass in nuclear matter
• Chiral Symmetry Restoration and Pion Interaction in Nuclear Matter
• In-medium Pion-Pion Interaction and Chiral Symmetry Restoration
• Chiral Perturbation Theory for Nuclear Physicists