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Related papers: Lattice-based QCD equation of state at finite bary…

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We explore the QCD equation of state at finite baryon density through an expansion in baryon number fugacity, making use of the recent lattice data on the four leading Fourier coefficients of the expansion. A state-of-the-art description of…

High Energy Physics - Phenomenology · Physics 2019-05-06 Volodymyr Vovchenko , Jan Steinheimer , Owe Philipsen , Horst Stoecker

A Cluster Expansion Model (CEM), representing a relativistic extension of Mayer's cluster expansion, is constructed to study baryon number fluctuations in QCD. The temperature dependent first two coefficients, corresponding to the partial…

High Energy Physics - Phenomenology · Physics 2018-07-03 Volodymyr Vovchenko , Jan Steinheimer , Owe Philipsen , Horst Stoecker

We present a novel construction of the QCD equation of state (EoS) at finite baryon density. Our work combines a recently proposed resummation scheme for lattice QCD results with the universal critical behavior at the QCD critical point.…

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

This paper is devoted to the study of QCD equation of state in external magnetic field and nonzero baryon density. Our study is carried out by means of lattice simulation with 2+1 dynamical staggered quarks at the physical masses. The…

High Energy Physics - Lattice · Physics 2024-05-28 N. Astrakhantsev , V. V. Braguta , A. Yu. Kotov , A. A. Roenko

Finite density lattice QCD usually relies on extrapolations in baryon chemical potential ($\mu_B$), be it Taylor expansion, T' expansion (\cite{Borsanyi:2021sxv}) or analytical continuation. However, their range of validity is difficult to…

We employ the lattice QCD data on Taylor expansion coefficients to extend our previous parametrization of the equation of state to finite baryon density. When we take into account lattice spacing and quark mass dependence of the hadron…

Nuclear Theory · Physics 2017-11-22 Pasi Huovinen , Peter Petreczky , Christian Schmidt

The equation of state of QCD at finite temperatures and baryon densities has a wide range of applications in many fields of modern particle and nuclear physics. It is the main ingredient to describe the dynamics of experimental heavy ion…

High Energy Physics - Lattice · Physics 2015-06-05 Owe Philipsen

QCD at finite density presents specific challenges to lattice gauge theory. Nonetheless, a region of the QCD phase diagram up to moderately large baryon chemical potentials has been successfully explored on the lattice and new results and…

High Energy Physics - Lattice · Physics 2008-11-26 M. -P. Lombardo

We simulate lattice QCD with two flavors of Wilson fermions at imaginary baryon chemical potential. Results for the baryon number density computed in the confining and deconfining phases at imaginary baryon chemical potential are used to…

High Energy Physics - Lattice · Physics 2018-08-29 V. G. Bornyakov , D. L. Boyda , V. A. Goy , H. Iida , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov , M. Wakayama

We present realistic equations of state for QCD matter at vanishing net-baryon density which embed recent lattice QCD results at high temperatures combined with a hadron resonance gas model in the low-temperature, confined phase. In the…

High Energy Physics - Phenomenology · Physics 2014-07-17 M. Bluhm , P. Alba , W. Alberico , A. Beraudo , C. Ratti

We propose a novel method to locate the QCD critical point by constructing an expansion along contours of constant entropy density. Applying two independent analysis of lattice QCD data at zero baryon chemical potential, we find a critical…

High Energy Physics - Phenomenology · Physics 2025-10-16 Hitansh Shah , Mauricio Hippert , Jorge Noronha , Claudia Ratti , Volodymyr Vovchenko

This is a pedagogical review of the lattice study of finite density QCD, which is intended to provide the minimum necessary contents, so that the paper may be used as the first reading for a newcomer to the field and also for those working…

High Energy Physics - Lattice · Physics 2009-11-10 Shin Muroya , Atsushi Nakamura , Chiho Nonaka , Tetsuya Takaishi

We present the results of continuum-extrapolated lattice simulations of quantum chromodynamics (QCD) above the crossover temperature and for unprecedentedly high baryon densities at the physical point, employing the complex Langevin…

High Energy Physics - Lattice · Physics 2026-04-22 Michael Mandl , Dénes Sexty , Daniel Unterhuber

We calculate a resummed equation of state with lattice QCD simulations at imaginary chemical potentials. This work presents a generalization of the scheme introduced in 2102.06660 to the case of non-zero $\mu_S$, focusing on the line of…

High Energy Physics - Lattice · Physics 2022-06-29 Szabolcs Borsanyi , Zoltan Fodor , Jana N. Guenther , Ruben Kara , Paolo Parotto , Attila Pasztor , Claudia Ratti , Kalman K. Szabo

We present a cluster expansion EoS model for strongly-interacting matter based on the generalized Beth-Uhlenbeck formalism to describe hadrons as bound clusters of quarks. This formalism can describe both confined and deconfined phases. Our…

High Energy Physics - Phenomenology · Physics 2023-08-09 Niels-Uwe Friedrich Bastian , Pasi Huovinen , Elizaveta Nazarova

A recent Letter~\cite{Borsanyi:2025dyp} employs lattice QCD calculations of the equation of state, combined with entropy-density contour analysis, to place a lower bound of $\mu_B \gtrsim 450$~MeV on the location of the QCD critical…

High Energy Physics - Lattice · Physics 2026-04-01 Roy A. Lacey

We employ the lattice QCD data on Taylor expansion coefficients up to sixth order to construct an equation of state at finite net-baryon density. When we take into account how hadron masses depend on lattice spacing and quark mass, the…

Nuclear Theory · Physics 2015-06-22 Pasi Huovinen , Peter Petreczky , Christian Schmidt

We report our recent studies on the finite density QCD obtained from lattice QCD simulation with clover-improved Wilson fermions of two flavor and RG-improved gauge action. We approach the subject from two paths, i.e., the imaginary and…

High Energy Physics - Lattice · Physics 2011-09-05 Atsushi Nakamura , Keitaro Nagata , Shinji Motoki , Yoshiyuki Nakagawa , Takuya Saito

We employ the lattice QCD data on Taylor expansion coefficients to extend our previous parametrization of the equation of state to finite baryon density. When we take into account lattice spacing and quark mass dependence of the hadron…

Nuclear Theory · Physics 2015-05-28 Pasi Huovinen , Peter Petreczky
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