Thermal pion masses in the second phase: $|{\mu }_I|>m_{\pi }$

Abstract

Density and thermal corrections to the mass of the pions are studied in the framework of the SU(2) low energy effective chiral lagrangian, in terms of the isospin chemical potential $μ_\tin{I}$. We concentrate the discussion in the region where the isospin chemical potential (absolute value) becomes bigger than the pion mass at zero temperature and density, i.e. in the phase where the condensed ${\pi }^{-}$ phase appears (for negative chemical potential). We are able to calculate the thermal and density evolution of masses in the limits where $|{\mu }_I|\gg m$ and where $|{\mu }_I|\gtrsim m$. We also identified the phase transition curve.

12 pages, 13 figures. Published in Physical Review D70

References in corpus (23)

• QCD at finite isospin density
• QCD-like Theories at Finite Baryon Density
• Lattice QCD at finite isospin density at zero and finite temperature
• On two-color QCD with baryon chemical potential
• QCD at finite isospin density: from pion to quark-antiquark condensation
• Isospin Chemical Potential and the QCD Phase Diagram at Nonzero Temperature and Baryon Chemical Potential
• QCD at small non-zero quark chemical potentials
• Quenched lattice QCD at finite isospin density and related theories
• A calculation of the QCD phase diagram at finite temperature, and baryon and isospin chemical potentials
• Thermal Pions at Finite Isospin Chemical Potential
• Diquark Condensate in QCD with Two Colors at Next-to-Leading Order
• Thermodynamics of chiral symmetry at low densities
• Pion Dynamics at Finite Temperature
• The Phase Diagram of Four Flavor SU(2) Lattice Gauge Theory at Nonzero Chemical Potential and Temperature
• Diquark Condensation at Nonzero Chemical Potential and Temperature
• Ladder-QCD at finite isospin chemical potential
• Pions at Finite Temperature from QCD Sum Rules
• The pseudo-Goldstone spectrum of 2-colour QCD at finite density
• 3D two-color QCD at finite temperature and baryon density
• Pion dispersion relation at finite density and temperature
• Chiral Condensates in Quark and nuclear Matter
• Anomalous decay of pion and eta at finite density
• Thermal Pions ns Isospin Chemical Potential Effects

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