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Main Authors: Li, Cheng-Ming, Yu, Guang-Hao, Zhao, Ya-Peng, Li, Zhibin, Zhang, Jin-Li, Ma, Yong-Liang, Huang, Yong-Feng
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.22382
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author Li, Cheng-Ming
Yu, Guang-Hao
Zhao, Ya-Peng
Li, Zhibin
Zhang, Jin-Li
Ma, Yong-Liang
Huang, Yong-Feng
author_facet Li, Cheng-Ming
Yu, Guang-Hao
Zhao, Ya-Peng
Li, Zhibin
Zhang, Jin-Li
Ma, Yong-Liang
Huang, Yong-Feng
contents Solutions of the quark gap equation and the corresponding vacuum pressure are investigated within a modified Nambu-Jona-Lasinio model, which is a basic issue for studying the QCD equation of state (EOS) and the properties of hypothetical non-strange quark stars. In this study, the coupling strength $G$ is modified as $G=G_1+G_2\langle\barψψ\rangle$ to highlight the feedback effect of the quark condensate on the gluon propagator. Our analysis reveals that the influence of the vacuum pressure on EOS stiffness critically depends on whether the chiral phase transition is a first-order transition or a smooth crossover. A small ratio $G_1/G$ $(0.74\sim0.75)$ leads to a low vacuum pressure and a first-order chiral phase transition, a scenario favored by the existence of massive pulsars. Conversely, a large $G_1/G$ $(>0.96)$ leads to a high vacuum pressure and a crossover, but the corresponding EOS is ruled out by recent pulsar mass-radius observations. The model parameter space, restricted by four constraints, indicates the current quark mass is in the range $4.08\leq m\leq4.13$ MeV, with the quark condensate feedback contribution accounting for approximately 25\%. Furthermore, it is argued that the merging compact binary in GW170817 could be non-strange quark stars, and the tidal deformability is constrained to $Λ(1.4)\leq646$.
format Preprint
id arxiv_https___arxiv_org_abs_2604_22382
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle QCD vacuum pressure and its influence on the equation of state of non-strange quark stars
Li, Cheng-Ming
Yu, Guang-Hao
Zhao, Ya-Peng
Li, Zhibin
Zhang, Jin-Li
Ma, Yong-Liang
Huang, Yong-Feng
High Energy Physics - Phenomenology
Solutions of the quark gap equation and the corresponding vacuum pressure are investigated within a modified Nambu-Jona-Lasinio model, which is a basic issue for studying the QCD equation of state (EOS) and the properties of hypothetical non-strange quark stars. In this study, the coupling strength $G$ is modified as $G=G_1+G_2\langle\barψψ\rangle$ to highlight the feedback effect of the quark condensate on the gluon propagator. Our analysis reveals that the influence of the vacuum pressure on EOS stiffness critically depends on whether the chiral phase transition is a first-order transition or a smooth crossover. A small ratio $G_1/G$ $(0.74\sim0.75)$ leads to a low vacuum pressure and a first-order chiral phase transition, a scenario favored by the existence of massive pulsars. Conversely, a large $G_1/G$ $(>0.96)$ leads to a high vacuum pressure and a crossover, but the corresponding EOS is ruled out by recent pulsar mass-radius observations. The model parameter space, restricted by four constraints, indicates the current quark mass is in the range $4.08\leq m\leq4.13$ MeV, with the quark condensate feedback contribution accounting for approximately 25\%. Furthermore, it is argued that the merging compact binary in GW170817 could be non-strange quark stars, and the tidal deformability is constrained to $Λ(1.4)\leq646$.
title QCD vacuum pressure and its influence on the equation of state of non-strange quark stars
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2604.22382