A non-perturbative treatment of the pion in the linear σ-model

1996/04/16 by Z. Aouissat, G. Chanfray, P. Schuck +2 · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1016/0375-9474(96)80011-f

published as Nucl.Phys. A603 (1996) 458-470 · To appear in Nucl.Phys. A, 16 pages, 2 Postscript figures

arxiv created 1996/04/16 · openalex publication_date 1996/06/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

Using a non-perturbative method based on the selfconsistent Quasi-particle Random-Phase Approximation (QRPA) we describe the properties of the pion in the linear σ-model. It is found that the pion is massless in the chiral limit, both at zero- and finite temperature, in accordance with Goldstone's theorem.

Citations

• Chiral perturbation theory to one loop
• The axial vector current in beta decay

Cited by

• The linear sigma model in the expansion via dynamical boson mappings and applications to ππ scattering
• Gapless Hartree-Fock resummation scheme for theO(N)model