Quark, pion and axial condensates in three-flavor finite isospin chiral perturbation theory

Abstract

We calculate the light quark condensate, the strange quark condensate, the pion condensate, and the axial condensate in three-flavor chiral perturbation theory ($\chi$PT) in the presence of an isospin chemical potential at next-to-leading order at zero temperature. It is shown that the three-flavor $\chi$PT effective potential and condensates can be mapped onto two-flavor $\chi$PT ones by integrating out mesons with strange quark content (kaons and eta), with renormalized couplings. We compare the results for the light quark and pion condensates at finite pseudoscalar source with ($2+1$)-flavor lattice QCD, and we also compare the axial condensate at zero pseudoscalar and axial sources with lattice QCD data. We find that the light quark, pion, and axial condensates are in very good agreement with lattice data. There is an overall improvement by including NLO effects.

arXiv comment12 pages 4 figures. v2: matches published version

References in corpus (23)

• Color superconductivity in dense quark matter
• The phase diagram of dense QCD
• QCD at finite isospin density
• Mesonic low-energy constants
• Renormalization of chiral perturbation theory to order p^6
• QCD-like Theories at Finite Baryon and Isospin Density
• Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation
• QCD phase diagram for nonzero isospin-asymmetry
• QCD at small non-zero quark chemical potentials
• Meson condensation
• Three-flavor Nambu--Jona-Lasinio model at finite isospin chemical potential
• New class of compact stars: Pion stars
• Two-flavor chiral perturbation theory at nonzero isospin: Pion condensation at zero temperature
• $\theta -$ Parameter in 2 Color QCD at Finite Baryon and Isospin Density
• QCD at finite isospin chemical potential
• QCD at finite isospin density: chiral perturbation theory confronts lattice data
• Cold QCD at finite isospin density: confronting effective models with recent lattice data
• Two-flavor condensates in chiral dynamics: temperature and isospin density effects
• Finite Isospin Chiral Perturbation Theory in a Magnetic Field
• Magnetic Vortex Lattices in Finite Isospin Chiral Perturbation Theory
• Vector meson condensation in a pion superfluid
• Quark and pion condensates at finite isospin density in chiral perturbation theory
• Corrections to the $\mathbf{SU}(3)\times \mathbf{SU}(3)$ Gell-Mann-Oakes-Renner relation and chiral couplings $L_8^r$ and $H_2^r$

Cited by in corpus (4)

• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• On the effective lagrangian at nonzero isospin chemical potential
• Phase diagram of interacting pion matter and isospin charge fluctuations
• Phases and condensates in zero-temperature QCD at finite ${\mu }_I$ and ${\mu }_S$