Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models

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Auteurs principaux: Ayala, Alejandro, Lopes, Bruno S., Farias, Ricardo L. S., Parra, Luis C.
Format: Preprint
Publié: 2023
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author Ayala, Alejandro
Lopes, Bruno S.
Farias, Ricardo L. S.
Parra, Luis C.
author_facet Ayala, Alejandro
Lopes, Bruno S.
Farias, Ricardo L. S.
Parra, Luis C.
contents The non-monotonic behavior of the speed of sound for isospin imbalanced strongly interacting matter, found by recent lattice QCD simulations, can be reproduced within the Nambu--Jona-Lasinio model and Linear Sigma Model with quarks when the couplings become isospin chemical potential-dependent. The introduction of medium-dependent couplings can potentially affect the equivalence between the thermodynamic relations and their definitions from statistical mechanics. We describe the procedure to compensate for the introduction of medium-dependent couplings to preserve the correct thermodynamic identities. We find the isospin chemical potential dependence for the couplings from the isospin density LQCD data and, after finding the compensating function to correctly describe the pressure, we show that the description of the square of the speed of sound reported by LQCD is well reproduced when using the found medium-dependent couplings in both models.
format Preprint
id arxiv_https___arxiv_org_abs_2310_13130
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
Ayala, Alejandro
Lopes, Bruno S.
Farias, Ricardo L. S.
Parra, Luis C.
High Energy Physics - Phenomenology
High Energy Physics - Lattice
High Energy Physics - Theory
Nuclear Theory
The non-monotonic behavior of the speed of sound for isospin imbalanced strongly interacting matter, found by recent lattice QCD simulations, can be reproduced within the Nambu--Jona-Lasinio model and Linear Sigma Model with quarks when the couplings become isospin chemical potential-dependent. The introduction of medium-dependent couplings can potentially affect the equivalence between the thermodynamic relations and their definitions from statistical mechanics. We describe the procedure to compensate for the introduction of medium-dependent couplings to preserve the correct thermodynamic identities. We find the isospin chemical potential dependence for the couplings from the isospin density LQCD data and, after finding the compensating function to correctly describe the pressure, we show that the description of the square of the speed of sound reported by LQCD is well reproduced when using the found medium-dependent couplings in both models.
title Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
topic High Energy Physics - Phenomenology
High Energy Physics - Lattice
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2310.13130