The linear sigma model at a finite isospin chemical potential

Abstract

The effect of finite isospin chemical potential to the effective masses of the mesons at finite temperature is investigated in the framework of the O(4) linear sigma model with explicit chiral symmetry breaking. We present a mechanism to include the isospin chemical potential in the model. By using the Cornwall-Jackiw-Tomboulis method of composite operators, we obtain a set gap equations for the effective masses of the mesons and get the numerical results in the Hartree approximation. We find that the introduction of the chemical potential only affects the mass of the charged pions and sigma, while there is almost NO effects on the mass of neutral pions.

11 pages, 6 figures; Version to appear in J. Phys. G

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Cited by in corpus (22)

• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Pion and Kaon Condensation at Finite Temperature and Density
• The fate of pion condensation in quark matter: from the chiral limit to the physical pion mass
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
• Thermodynamics and susceptibilities of isospin imbalanced QCD matter
• Pion condensation in a dense neutrino gas
• Functional Renormalization for Chiral and U_A(1) Symmetries at Finite Temperature
• Topological Susceptibility in Three-Flavor Quark Meson Model at Finite Temperature
• Probing the hadron mass spectrum in dense two-color QCD with the linear sigma model
• Stressed Cooper pairing in QCD at high isospin density: effective Lagrangian and random matrix theory
• On the symmetry improved CJT formalism in the $O(4)$ linear sigma model
• Pionic BEC--BCS crossover at finite isospin chemical potential
• Pion condensation in the two--flavor chiral quark model at finite baryochemical potential
• Magnetic Corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Bose-Einstein condensation in linear sigma model at Hartree and large N approximation
• Meson Mixing in Pion Superfluid
• A new perspective for the magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Thermal Corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Thermo-magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Pion String evolving in a thermal bath
• Chiral phase transition in the linear sigma model within Hartree factorization in the Tsallis nonextensive statistics
• Linear Sigma Model at Finite Temperature and Baryonic Chemical Potential Using the Midpoint Technique