Thermal pions at a finite isospin chemical potential

2002/12/31 by M. Loewe, C. Villavicencio · 8 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Isospin #Nuclear physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Thermal #Thermodynamics #hep-ph

paper · pdf · doi:10.1103/physrevd.67.074034

published as Phys.Rev. D67 (2003) 074034 · 13 pages, 5 figures

arxiv created 2003/01/21 · openalex publication_date 2003/04/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The density corrections, in terms of the isospin chemical potential \ensuremathμ_I, to the mass of the pions are studied in the framework of the SU(2) low-energy effective chiral Lagrangian. The pion decay constant f_\ensuremathπ(T,\ensuremathμ_I) is also analyzed. As a function of temperature for \ensuremathμ_I=0, the mass remains quite stable, starting to grow for very high values of T, confirming previous results. However, there are interesting corrections to the mass when both effects (temperature and chemical potential) are simultaneously present. At zero temperature the \ensuremathπ^\ifmmode±\else\textpm\fi should condensate when \ensuremathμ_I=\ensuremath∓m_\ensuremathπ. This is no longer valid at finite T. The mass of \ensuremathπ₀ acquires also a nontrivial dependence on \ensuremathμ_I due to the finite temperature.

Citations

• Pion dispersion relation at finite density and temperature
• THE LINEAR σ-MODEL AND FINITE TEMPERATURE EFFECTS
• Chiral perturbation theory to one loop
• Chiral perturbation theory: Expansions in the mass of the strange quark
• QCD at Finite Isospin Density

Cited by

• Aspects of Meson Condensation
• Pion and kaon condensation at finite temperature and density
• Weinberg–Salam model at finite temperature and density
• Chiral perturbation theory for nonzero chiral imbalance
• QCD at finite isospin density: Chiral perturbation theory confronts lattice data
• Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature
• Pion and kaon condensation in a 3-flavor Nambu–Jona-Lasinio model
• Mass and chemical asymmetry in QCD matter