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Related papers: Towards finite density QCD with Taylor expansions

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The QCD baryon number density can formally be expanded into a Laurent series in fugacity, which is a relativistic generalization of Mayer's cluster expansion. We determine properties of the cluster expansion in a model with a phase…

High Energy Physics - Phenomenology · Physics 2020-01-23 Volodymyr Vovchenko , Carsten Greiner , Volker Koch , Horst Stoecker

We explore the phase diagram of two flavour QCD at vanishing chemical potential using dynamical O(a)-improved Wilson quarks. In the approach to the chiral limit we use lattices with a temporal extent of N_t=16 and spatial extent L=32,48 and…

High Energy Physics - Lattice · Physics 2012-10-26 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Owe Philipsen , Hartmut Wittig

QCD lattice simulations with 2+1 flavours (when two quark flavours are mass degenerate) typically start at rather large up-down and strange quark masses and extrapolate first the strange quark mass and then the up-down quark mass to its…

We present a method to calculate the pion screening mass in 2+1-flavor lattice QCD to $\mathcal{O}(\mu^2_\ell)$, where $\mu_\ell$ is the isoscalar chemical potential. Our approach is based on the expression for the free theory pion…

High Energy Physics - Lattice · Physics 2024-01-09 Prasad Hegde , Rishabh Thakkar

We propose and test a new approach to computation of canonical partition functions in lattice QCD at finite density. We suggest a few steps procedure. We first compute numerically the quark number density for imaginary chemical potential…

High Energy Physics - Lattice · Physics 2017-05-24 V. G. Bornyakov , D. L. Boyda , V. A. Goy , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov

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

In this thesis the finite temperature transition between confined and deconfined matter is studied at zero and nonzero quark densities. The findings are relevant for the understanding of the evolution of the early Universe and contemporary…

High Energy Physics - Lattice · Physics 2011-04-20 Gergely Endrodi

The perturbative three-loop result for the thermodynamic potential of QCD at finite temperature and chemical potential as obtained in the framework of dimensional reduction is compared with the exact result in the limit of large flavor…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Ipp , A. Rebhan , A. Vuorinen

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

We present results for the QCD Equation of State at non-zero chemical potentials corresponding to the conserved charges in QCD using Taylor expansion upto sixth order in the baryon number, electric charge and strangeness chemical…

High Energy Physics - Lattice · Physics 2018-03-14 Sayantan Sharma , for Bielefeld-BNL-CCNU collaboration

Using two-color lattice QCD with Wilson fermions, we report a study of the finite baryon number density system with two-flavors. First we investigate the Polyakov line and thermodynamical uantities in the $(\kappa,\mu)$ plane, where…

High Energy Physics - Lattice · Physics 2016-09-01 Shin Muroya , Atsushi Nakamura , Chiho Nonaka

The perturbative expansion of the pressure of hot QCD is computed here to order g^6ln(g) in the presence of finite quark chemical potentials. In this process all two- and three-loop one-particle irreducible vacuum diagrams of the theory are…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Vuorinen

Exploration of the QCD phase diagram is pivotal in particle and nuclear physics. We construct a full four-dimensional equation of state of QCD with net baryon, electric charge, and strangeness by extending the NEOS model beyond the…

Nuclear Theory · Physics 2025-03-06 Akihiko Monnai , Grégoire Pihan , Björn Schenke , Chun Shen

A comprehensive study of the QCD phase diagram is one of the challenging and open problems in high energy physics. Having significant astrophysical implications, this is also important in constructing the chronological evolution of the…

High Energy Physics - Phenomenology · Physics 2023-07-13 Sabarnya Mitra

The first-principle approach to the dense state of QCD matter, i.e. the lattice-QCD simulation at finite baryon density, is not under theoretical control for the moment. The effective model study based on QCD symmetries is a practical…

High Energy Physics - Phenomenology · Physics 2015-05-19 Kenji Fukushima

We review in brief the threshold expansion, a method to perform the expansion of Feynman integrals near the heavy quark-antiquark threshold, and its relation to the construction of two effective theories, non-relativistic QCD (NRQCD) and…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Beneke

We study the phase structure of QCD at finite temperatures with two flavors of dynamical quarks on a lattice with the size $N_s^3 \times N_t=16^3 \times 4$, using a renormalization group improved gauge action and a clover improved Wilson…

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

We compute the equation of state of isospin asymmetric QCD at zero and non-zero temperatures using direct simulations of lattice QCD with three dynamical flavors at physical quark masses. In addition to the pressure and the trace anomaly…

High Energy Physics - Lattice · Physics 2022-12-06 Bastian B. Brandt , Francesca Cuteri , Gergely Endrödi

The existence of the QCD critical point at non-zero baryon density is not only of great interest for experimental physics but also a challenge for the theory. Any hint of the existence of the first order phase transition and, particularly,…

High Energy Physics - Lattice · Physics 2010-09-07 Anyi Li

We determine the location of the critical point where the first-order deconfining transition in the heavy-quark region turns into a crossover in finite-temperature and density lattice QCD with 2+1 flavors of Wilson quarks. Combining a…

High Energy Physics - Lattice · Physics 2023-11-21 Shinji Ejiri , Kazuyuki Kanaya , Masakiyo Kitazawa