Pion and Kaon Condensation at Finite Temperature and Density

Abstract

In this paper, we study O(2N)-symmetric ${\varphi }^4$-theory at finite temperature and density using the 2PI-1/N expansion. As specific examples, we consider pion condensation at finite isospin chemical potential and kaon condensation at finite chemical potential for hyper charge 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.

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

References in corpus (5)

• Dense Matter in Compact Stars: Theoretical Developments and Observational Constraints
• The pressure of deconfined QCD for all temperatures and quark chemical potentials
• The linear sigma model at a finite isospin chemical potential
• Goldstone boson counting in linear sigma models with chemical potential
• Phantom field fluctuation induced Higgs effect

Cited by in corpus (25)

• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Selected Topics in the Large Quantum Number Expansion
• Nambu-Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
• Bulk viscosity in kaon-condensed color-flavor locked quark matter
• 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
• Relativistic BCS-BEC Crossover at Zero Temperature
• Condensate and superfluid fractions for varying interactions and temperature
• Bose-Einstein condensation and Silver Blaze property from the two-loop $\Phi$-derivable approximation
• Functional renormalization group at finite density and Bose condensation
• Critical temperature for kaon condensation in color-flavor locked quark matter
• Possibility of s-wave pion condensates in neutron stars revisited
• Rotation induced charged pion condensation in a strong magnetic field: A Nambu--Jona-Lasino model study
• Goldstone bosons in presence of charge density
• Nonlinear sigma models at nonzero chemical potential: breaking up instantons and the phase diagram
• Renormalization of O(N) model in 1/N expansion in auxiliary field formalism
• Bose-Einstein condensation in linear sigma model at Hartree and large N approximation
• Meson Mixing in Pion Superfluid
• Finite Temperature Description of an Interacting Bose Gas
• Critical point and Bose-Einstein condensation in pion matter
• Chiral symmetry restoration and properties of Goldstone bosons at finite temperature
• Quarkyonic picture of isospin QCD
• Phase diagram of interacting pion matter and isospin charge fluctuations
• Bose-Einstein condensation in dense quark matter
• Renormalization and resummation in the O(N) model