A finite temperature framework for quark matter with color-superconducting phases

Fuente: arXiv
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Main Authors: Gholami, Hosein, Hofmann, Marco, Mroczek, Débora, Noronha-Hostler, Jacquelyn
Format: Preprint
Published: 2025
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author Gholami, Hosein
Hofmann, Marco
Mroczek, Débora
Noronha-Hostler, Jacquelyn
author_facet Gholami, Hosein
Hofmann, Marco
Mroczek, Débora
Noronha-Hostler, Jacquelyn
contents Current observations of neutron stars and measurements of gravitational waves only provide constraints on the zero temperature ($T=0$) equation of state (EoS) of dense matter. The detection of the post-merger gravitational-wave signal from a binary neutron star merger would additionally provide access to finite-temperature properties of the EoS which contain more information about the composition and the interactions of dense matter than the cold EoS alone. In particular deconfined quark matter may be probed by its characteristic finite temperature effects. This is especially the case for color-superconducting phases, in which the quasiparticle contribution to the thermal pressure is exponentially suppressed at low temperatures. Here we develop a new finite $T$ framework to model the thermal EoS for dense quark matter based on the cold quark matter EoS which is useful for numerical relativity simulations. We test the validity of the framework against a three-flavor NJL mean-field calculation, both with and without diquark pairing. We find that even for the complicated phase diagram of the NJL model including multiple different phases the framework is accurate to the few percent level for temperatures up to $T\sim 50\,$MeV.
format Preprint
id arxiv_https___arxiv_org_abs_2512_16720
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A finite temperature framework for quark matter with color-superconducting phases
Gholami, Hosein
Hofmann, Marco
Mroczek, Débora
Noronha-Hostler, Jacquelyn
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Nuclear Theory
Current observations of neutron stars and measurements of gravitational waves only provide constraints on the zero temperature ($T=0$) equation of state (EoS) of dense matter. The detection of the post-merger gravitational-wave signal from a binary neutron star merger would additionally provide access to finite-temperature properties of the EoS which contain more information about the composition and the interactions of dense matter than the cold EoS alone. In particular deconfined quark matter may be probed by its characteristic finite temperature effects. This is especially the case for color-superconducting phases, in which the quasiparticle contribution to the thermal pressure is exponentially suppressed at low temperatures. Here we develop a new finite $T$ framework to model the thermal EoS for dense quark matter based on the cold quark matter EoS which is useful for numerical relativity simulations. We test the validity of the framework against a three-flavor NJL mean-field calculation, both with and without diquark pairing. We find that even for the complicated phase diagram of the NJL model including multiple different phases the framework is accurate to the few percent level for temperatures up to $T\sim 50\,$MeV.
title A finite temperature framework for quark matter with color-superconducting phases
topic High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2512.16720