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Related papers: Susceptibilities and speed of sound from PNJL mode…

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We compute the coefficients $c_2(T,B)$ and $c_4(T,B)$ of the Taylor expansion for the pressure in powers of $\mu_B/T$ in the presence of a large magnetic field within perturbative QCD at finite temperature and baryon density up to two-loops…

High Energy Physics - Phenomenology · Physics 2026-01-14 Eduardo S. Fraga , Letícia F. Palhares , Tulio E. Restrepo

We have extended the Polyakov-Nambu-Jona-Lasinio (PNJL) model for two degenerate flavours to include the isospin chemical potential ($\mu_I$). All the diagonal and mixed derivatives of pressure with respect to the quark number (proportional…

High Energy Physics - Phenomenology · Physics 2008-11-26 Swagato Mukherjee , Munshi G. Mustafa , Rajarshi Ray

We systematically investigate the speed of sound in QCD matter under different conditions in the grand canonical ensemble within the Polyakov loop improved Nambu--Jona-Lasinio (PNJL) model. The numerical results indicate that the dependence…

High Energy Physics - Phenomenology · Physics 2022-06-01 Wei-bo He , Guo-yun Shao , Xue-yan Gao , Xin-ran Yang , Chong-long Xie

An improved version of the PNJL model is used to calculate various thermodynamical quantities, {\it viz.}, quark number susceptibility, isospin susceptibility, specific heat, speed of sound and conformal measure. Comparison with Lattice…

High Energy Physics - Phenomenology · Physics 2011-05-05 Sanjay K. Ghosh , Tamal K. Mukherjee , Munshi G. Mustafa , Rajarshi Ray

Using Taylor expansions of the pressure obtained previously in studies of 2-flavor QCD at non-zero chemical potential we calculate expansion coefficients for the energy and entropy densities up to ${\cal O}(\mu_q^6)$ in the quark chemical…

High Energy Physics - Lattice · Physics 2009-11-11 S. Ejiri , F. Karsch , E. Laermann , C. Schmidt

We discuss the equation of state for QCD at non-zero temperature and density. We present results of a simulation for QCD with 2 flavors of p4-improved staggered fermions. Derivatives of $\ln {\cal Z}$ with respect to quark chemical…

High Energy Physics - Lattice · Physics 2009-11-10 S. Ejiri , C. R. Allton , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , C. Schmidt

Quark number susceptibilities at finite quark chemical potential are investigated in the framework of the Polyakov-loop-extended Nambu Jona-Lasinio (PNJL) model. A detailed comparison is performed between the available lattice data,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Claudia Ratti , Simon Roessner , Wolfram Weise

Thermodynamics of two-flavor QCD at finite temperature and density is studied on a $16^3 \times 4$ lattice, using a renormalization group improved gauge action and the clover improved Wilson quark action. In the simulations along lines of…

High Energy Physics - Lattice · Physics 2008-11-26 Y. Maezawa , S. Aoki , S. Ejiri , T. Hatsuda , N. Ishii , K. Kanaya , N. Ukita , T. Umeda

We report the measurement of quark number susceptibilities (QNS) and their temperature dependence from simulations of QCD with two flavours of light dynamical staggered quarks at finite temperature on 8 * 32^3 lattices. From the radius of…

High Energy Physics - Lattice · Physics 2017-04-05 Saumen Datta , Rajiv V. Gavai , Sourendu Gupta

We discuss the equation of state for 2 flavor QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated, enabling estimates of the pressure, quark…

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

We extend the Polyakov-Nambu-Jona-Lasinio (PNJL) model for two degenerate flavours by including the effect of the SU(3) measure with a Van der Monde (VdM) term. This ensures that the Polyakov loop always remains in the domain [0,1]. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sanjay K. Ghosh , Tamal K. Mukherjee , Munshi G. Mustafa , Rajarshi Ray

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

We present results of a simulation of 2-flavor QCD on a 4x16^3 lattice using p4-improved staggered fermions with bare quark mass m/T=0.4. Derivatives of the thermodynamic grand canonical partition function Z(V,T,mu_u,mu_d) with respect to…

High Energy Physics - Lattice · Physics 2008-11-26 C. R. Allton , M. Doering , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , K. Redlich

We present results for the equation of state in (2+1)-flavor QCD using the highly improved staggered quark action and lattices with temporal extent $N_{\tau}=6,~8,~10$, and $12$. We show that these data can be reliably extrapolated to the…

We update results on the QCD equation of state in (2+1)-flavor QCD with non-zero conserved charge chemical potentials obtained from an eighth-order Taylor series. We present results for basic bulk thermodynamic observables of…

High Energy Physics - Lattice · Physics 2023-08-02 D. Bollweg , D. A. Clarke , J. Goswami , O. Kaczmarek , F. Karsch , Swagato Mukherjee , P. Petreczky , C. Schmidt , Sipaz Sharma

We show that a class of NJL-like models fails to reproduce the expected conformal limit of the speed of sound, making them unsuitable for analyzing the equation of state of dense matter. We then demonstrate how this issue can be resolved…

Nuclear Theory · Physics 2025-07-10 Udita Shukla , Pok Man Lo

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

QCD thermodynamics is investigated by means of the Polyakov-loop-extended Nambu Jona-Lasinio (PNJL) model, in which quarks couple simultaneously to the chiral condensate and to a background temporal gauge field representing Polyakov loop…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Ratti , S. Roessner , M. A. Thaler , W. Weise

We discuss the phase structure and the equation of state for QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated for 2-flavor QCD, enabling…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri , Chris R. Allton , Simon J. Hands , Olaf Kaczmarek , Frithjof Karsch , Edwin Laermann , Christian Schmidt

Baryon number fluctuations are believed to be good signatures of the QCD phase transition and its CP. Since the fluctuations are proportional to the various order baryon-number susceptibilities and the quark-number density is related to the…

High Energy Physics - Phenomenology · Physics 2021-07-08 Ameng Zhao , Hongshi Zong
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