PoS - Proceedings of Science
Volume 336 - XIII Quark Confinement and the Hadron Spectrum (Confinement2018) - F: Nuclear and Astroparticle Physics
Pion condensation and the QCD phase diagram at finite isospin density
J.O. Andersen*, P. Adhikari and P. Kneschke
Full text: pdf
Pre-published on: September 12, 2019
Published on: September 26, 2019
Abstract
We use the Polyakov-loop extended two-flavor quark-meson model as a low-energy effective model for QCD to study 1) the possibility of inhomogeneous chiral condensates and its competition with a homogeneous pion condensate in the $\mu$--$\mu_I$ plane at $T=0$ and 2) the phase diagram in the $\mu_I$--$T$ plane. In the $\mu$--$\mu_I$ plane, we find that an inhomogeneous chiral condensate only exists for pion masses lower that 37.1 MeV and does not coexist with a homogeneous pion condensate. In the $\mu_I$--$T$ plane, we find that the phase transition to a Bose-condensed phase is of second order for all values of $\mu_I$ and we find that there is no pion condensation for temperatures larger than approximately 187 MeV.
The chiral critical line joins the critical line for pion condensation at a point, whose position depends on the Polyakov-loop potential and the sigma mass. For larger values of $\mu_I$ these curves are on top of each other. The deconfinement line enters smoothly the phase with the broken $O(2)$ symmetry. We compare our results with recent lattice simulations and find overall good agreement.
DOI: https://doi.org/10.22323/1.336.0197
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.