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QCD equation of state at finite isospin density from the linear sigma model with quarks: the cold case

We use the two-flavor Linear Sigma Model with quarks to study the phase structure of isospin asymmetric matter at zero temperature. The meson degrees of freedom provide the mean field chiral and isospin condensates on top of which we compute the effective potential accounting for constituent quark f...

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Bibliographic Details
Main Authors: Ayala, Alejandro (Author) , Bandyopadhyay, Aritra (Author) , Farias, Ricardo L. S. (Author) , Hernández, L. A. (Author) , Hernández, José Luis (Author)
Format: Article (Journal)
Language:English
Published: 20 April 2023
In: Physical review
Year: 2023, Volume: 107, Issue: 7, Pages: 1-12
ISSN:2470-0029
DOI:10.1103/PhysRevD.107.074027
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.107.074027
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.107.074027
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Author Notes:Alejandro Ayala, Aritra Bandyopadhyay, Ricardo L.S. Farias, L.A. Hernández, and José Luis Hernández
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Summary:We use the two-flavor Linear Sigma Model with quarks to study the phase structure of isospin asymmetric matter at zero temperature. The meson degrees of freedom provide the mean field chiral and isospin condensates on top of which we compute the effective potential accounting for constituent quark fluctuations at one-loop order. Using the renormalizability of the model, we absorb the ultraviolet divergences into suitable counterterms that are added respecting the original structure of the theory. These counterterms are determined from the stability conditions which require the effective potential to have minima in the condensates directions at the classical values, as well as the transition from the noncondensed to the condensed phase to be smooth as a function of the isospin chemical potential. We use the model to study the evolution of the condensates as well as the pressure, energy and isospin densities and the sound velocity as functions of the isospin chemical potential. The approach does a good average description up to isospin chemical potentials values not too large as compared to the vacuum pion mass.
Item Description:Gesehen am 23.06.2023
Physical Description:Online Resource
ISSN:2470-0029
DOI:10.1103/PhysRevD.107.074027

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