Pion condensation in the two--flavor chiral quark model at finite baryochemical potential

Abstract

Pion condensation is studied at one--loop level and nonzero baryochemical potential in the framework of two flavor constituent quark model using the one--loop level optimized perturbation theory for the resummation of the perturbative series. A Landau type of analysis is presented for the investigation of the phase boundary between the pion condensed/non-condensed phases. The statement that the condensation starts at $\muI = m_π$ is slightly modified by one--loop corrections. The second order critical surface is determined and analysed in the $\muI-\muB-T$ space. The $\muI$ dependence of the one--loop level charged pion pole masses is also studied.

12 pages, 5 figures, submitted to PRD

References in corpus (9)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• The QCD transition temperature: results with physical masses in the continuum limit
• Pion and Kaon Condensation at Finite Temperature and Density
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• The critical surface of the SU(3)_L x SU(3)_R chiral quark model at non-zero baryon density
• Influence of the isospin and hypercharge chemical potentials on the location of the CEP in the mu_B-T phase diagram of the SU(3)_L x SU(3)_R chiral quark model
• Resummed one-loop determination of the phase boundary of the SU(3)_R x SU(3)_L linear sigma model in the m_pi-m_K-plane
• The linear sigma model at a finite isospin chemical potential

Cited by in corpus (10)

• Three-flavor Nambu--Jona-Lasinio model at finite isospin chemical potential
• The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field
• Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Functional renormalization group at finite density and Bose condensation
• Magnetic catalysis of a charged Bose-Einstein condensate
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Neutron star properties with careful parameterization in the (axial)vector meson extended linear sigma model
• BCS-BEC crossover in relativistic Fermi systems
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models