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In this paper, we give a direct method for calculating the partition function, and hence the equation of state (EOS) of Quantum Chromodynamics (QCD) at finite chemical potential and zero temperature. In the EOS derived in this paper the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hong-shi Zong , Wei-min Sun

In this paper, an improved quasi-particle model is presented. Unlike the previous approach of establishing quasi-particle model, we introduce a classical background field (it is allowed to depend on the temperature) to deal with the…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jing Cao , Yu Jiang , Wei-min Sun , Hong-shi Zong

The equation of state (EoS) of quantum chromodynamics (QCD) at zero temperature can be calculated in two different perturbative regimes: for small values of the baryon chemical potential $\mu$, one may use chiral perturbation theory…

Nuclear Theory · Physics 2016-08-16 Tyler Gorda

We construct a hybrid equation of state (EoS) by smoothly interpolating the EoS in the hadron resonance gas at low temperatures to that in the ideal parton gas at high temperatures, and employ it to study the properties of the quantum…

High Energy Physics - Phenomenology · Physics 2026-02-13 Zhi-Ying Qin , Bo Feng , Ya-Hui Hou , Hong-Yue Song , Wen-Chao Zhang , Hua Zheng , Shi-Jun Mao

Within the framework of Dyson-Schwinger equations (DSEs), we discuss the equation of state (EOS) and quark number densities of 2+1 flavors, that is to say, $u$, $d$, and $s$ quarks. The chemical equilibrium and electric charge neutrality…

High Energy Physics - Phenomenology · Physics 2016-01-20 Shu-Sheng Xu , Yan Yan , Zhu-Fang Cui , Hong-Shi Zong

The interactions of quarks and gluons are strong at non-perturbative region. The equation of state (EoS) of a strongly-interacting quantum chromodynamics (QCD) medium can only be studied using the first-principle lattice QCD calculations.…

High Energy Physics - Phenomenology · Physics 2023-10-03 Fu-Peng Li , Hong-Liang Lü , Long-Gang Pang , Guang-You Qin

We discuss the equation of state (EoS) for two flavor QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ are calculated up to sixth order. From this Taylor series, the pressure,…

High Energy Physics - Lattice · Physics 2017-08-23 S. Ejiri , C. R. Allton , M. Doering , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , K. Redlich

In this paper we apply the equation of state (EOS) of QCD at finite chemical potential and zero temperature proposed in H. S. Zong and W. M. Sun [Int. J. Mod. Phys. {\bf A23}, 3591 (2008)] to the study of properties of quark star. This EOS…

High Energy Physics - Phenomenology · Physics 2015-03-17 Hua Li , Xin-Lian Luo , Yu Jiang , Hong-Shi Zong

In a quasi-particle model of QCD matter at finite temperature with thermal masses for quarks and gluons from hard thermal loops, the equation of state (EOS) can be described by an effective temperature dependence of the strong coupling…

High Energy Physics - Phenomenology · Physics 2023-12-12 Feng-Lei Liu , Xiang-Yu Wu , Shanshan Cao , Guang-You Qin , Xin-Nian Wang

Using an eighth-order Taylor expansion in baryon chemical potential, we recently obtained the (2+1)-flavor QCD equation of state (EoS) at non-zero conserved charge chemical potentials from the lattice. We focused on strangeness-neutral,…

High Energy Physics - Lattice · Physics 2024-07-02 D. A. Clarke , J. Goswami , F. Karsch , P. Petreczky

We establish a flavor dependent holographic framework for hot and dense QCD. To this end, we generalize a class of bottom-up holographic models for QCD in the Veneziano limit (V-QCD) by incorporating explicit flavor dependence.…

High Energy Physics - Phenomenology · Physics 2025-07-15 Matti Jarvinen , Toshali Mitra

A quasi-particle model has been employed to describe the $(2+1)$-flavor lattice QCD equation of state with physical quark masses. The interaction part of the equation of state has been mapped to the effective fugacities of otherwise…

Nuclear Theory · Physics 2011-10-11 Vinod Chandra , V. Ravishankar

We calculate the equation of state at non-zero temperature and density from first principles in two-, three- and four-color QCD with two fermion flavors in the fundamental and two-index, antisymmetric representation. By matching low-energy…

High Energy Physics - Phenomenology · Physics 2015-07-22 Tyler Gorda , Paul Romatschke

We construct the equation of state (EoS) of QCD based on the finite chemical potential information from the functional QCD approaches, with the assistance of the lattice QCD EoS. The obtained EoS is consistent with the up-to-date…

High Energy Physics - Phenomenology · Physics 2023-10-27 Yi Lu , Fei Gao , Bao-Chi Fu , Hui-Chao Song , Yu-Xin Liu

The equation of state (EoS) of strongly interacting matter at finite temperature and chemical potentials (baryon, charge, and strangeness) is a crucial input for hydrodynamic simulations of relativistic heavy-ion collisions. We construct a…

Nuclear Theory · Physics 2026-04-27 Fu-Peng Li , Long-Gang Pang , Guang-You Qin

We present a significant extension of the quark mass density-dependent model (QMDDM), initially revised in our prior study (Lugones and Grunfeld, Phys. Rev. D 107, 043025 (2023)), where thermodynamic inconsistencies were addressed. Our…

Nuclear Theory · Physics 2023-12-27 G. Lugones , A. G. Grunfeld

Based on the method proposed in [ H. S. Zong, W. M. Sun, Phys. Rev. \textbf{D 78}, 054001 (2008)], we calculate the equation of state (EOS) of QCD at zero temperature and finite quark chemical potential under the hard-dense-loop (HDL)…

High Energy Physics - Phenomenology · Physics 2014-11-21 Yu Jiang , Hua Li , Shi-song Huang , Wei-min Sun , Hong-shi Zong

Recent advances in the study of equations of state of thermal lattice Quantum Chromodynamics obtained at non-zero baryon density allow validation of the quark-gluon plasma (QGP) liquid model equations of state (EoS). We study here the…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Letessier , J. Rafelski

We determine the equation of state of QCD for nonzero chemical potentials via a Taylor expansion of the pressure. The results are obtained for N_f=2+1 flavors of quarks with physical masses, on various lattice spacings. We present results…

High Energy Physics - Lattice · Physics 2015-06-04 Sz. Borsanyi , G. Endrodi , Z. Fodor , S. D. Katz , S. Krieg , C. Ratti , K. K. Szabo

The Equation of State of Quantum Chromodynamics with $N_f=3$ flavours is determined non-perturbatively with a precision of about $0.5\%-1.0\%$ in the range of temperatures between 3 GeV and 165 GeV. The computation is carried out by…

High Energy Physics - Lattice · Physics 2025-10-01 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe
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