Pion and kaon condensation at finite temperature and density

2006/09/30 by Jens O. Andersen
Physics and Astronomy · #Charge (physics) #Condensation #Coupling constant #Electroweak interaction #High-Energy Particle Collisions Research #Hypercharge #Isospin #Mathematical physics #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quasiparticle #Superconductivity #Thermal quantum field theory #Thermodynamics #hep-ph

paper · pdf · doi:10.1103/physrevd.75.065011

published as Phys.Rev.D75:065011,2007 · 10 pages. 7 Figures. v2: Better plots and figs. Added significant number of refs v3: Accepted for publication in PRD. Added a figure and improved part on renormalization as well as presentation

arxiv created 2007/02/16 · openalex publication_date 2007/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, we study O(2N)-symmetric \ensuremathφ⁴-theory at finite temperature and density using the two-particle irreducible 1/N expansion. As specific examples, we consider pion condensation at finite isospin chemical potential and kaon condensation at finite chemical potential for hypercharge and isospin charge. We calculate the phase diagrams and the quasiparticle masses for pions and kaons in the large-N limit. It is shown that the effective potential and the gap equation can be renormalized by using local counterterms for the coupling constant and mass parameter, which are independent of temperature and chemical potentials.

Citations

• Phase transitions in quantum chromodynamics
• Solution to the 3-Loop Φ-Derivable Approximation for Massless Scalar Thermodynamics
• Ladder-QCD at finite isospin chemical potential
• Theory of the weakly interacting Bose gas
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• Novel phases and transitions in Color Flavor Locked matter
• The linear sigma model at a finite isospin chemical potential
• Solution to the Φ-derivable approximation for scalar thermodynamics
• Kaon condensation and Goldstone's theorem
• Nonperturbative renormalization for 2PI effective action techniques
• QCD at Finite Isospin Density
• Advances in perturbative thermal field theory
• Pion superfluidity and meson properties at finite isospin density
• Pion condensation in electrically neutral cold matter with finite baryon density
• Phantom field fluctuation induced Higgs effect