Chiral density wave versus pion condensation at finite density and zero temperature

TY - JOUR

T1 - Chiral density wave versus pion condensation at finite density and zero temperature

AU - Andersen, Jens O

AU - Kneschke, Patrick

PY - 2018/4/1

Y1 - 2018/4/1

N2 - The quark-meson model is often used as a low-energy effective model for QCD to study the chiral transition at finite temperature T, baryon chemical potential μB, and isospin chemical potential μI. We determine the parameters of the model by matching the meson and quark masses, as well as the pion decay constant to their physical values using the on shell (OS) and modified minimal subtraction (MS) schemes. In this paper, the existence of different phases at zero temperature is studied. In particular, we investigate the competition between an inhomogeneous chiral condensate and a homogeneous pion condensate. For the inhomogeneity, we use a chiral-density wave ansatz. For a sigma mass of 600 MeV, we find that an inhomogeneous chiral condensate exists only for pion masses below approximately 37 MeV. We also show that due to our parameter fixing, the onset of pion condensation takes place exactly at μIc=12mπ in accordance with exact results.

AB - The quark-meson model is often used as a low-energy effective model for QCD to study the chiral transition at finite temperature T, baryon chemical potential μB, and isospin chemical potential μI. We determine the parameters of the model by matching the meson and quark masses, as well as the pion decay constant to their physical values using the on shell (OS) and modified minimal subtraction (MS) schemes. In this paper, the existence of different phases at zero temperature is studied. In particular, we investigate the competition between an inhomogeneous chiral condensate and a homogeneous pion condensate. For the inhomogeneity, we use a chiral-density wave ansatz. For a sigma mass of 600 MeV, we find that an inhomogeneous chiral condensate exists only for pion masses below approximately 37 MeV. We also show that due to our parameter fixing, the onset of pion condensation takes place exactly at μIc=12mπ in accordance with exact results.

U2 - 10.1103/PhysRevD.97.076005

DO - 10.1103/PhysRevD.97.076005

M3 - Journal article

SN - 2470-0010

VL - 97

JO - Physical Review D

JF - Physical Review D

M1 - 076005

ER -