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We discuss the non-zero baryon number formulation of QCD in the quenched limit at finite temperature. This describes the thermodynamics of gluons in the background of static quark sources. Although a sign problem remains in this theory, our…

High Energy Physics - Lattice · Physics 2015-06-25 O. Kaczmarek with J. Engels , F. Karsch , E. Laermann

Despite intense experimental and theoretical research, the QCD phase diagram at finite baryon density remains to a large extent unexplored. From the theoretical side, the obvious non-perturbative approach is lattice QCD simulations, which…

We use the two-flavor linear sigma model with quarks to study the phase structure of isospin asymmetric matter at zero temperature. The meson degrees of freedom provide the mean field chiral- and isospin-condensates on top of which we…

High Energy Physics - Phenomenology · Physics 2023-05-03 Alejandro Ayala , Aritra Bandyopadhyay , Ricardo L. S. Farias , Luis A. Hernández , José Luis Hernández

Introduction of a nonzero isospin chemical potential in QCD leads to the emergence of a pion condensed phase at sufficiently large $\mu_I$, bounded by a second order transition line. At zero temperature the pion condensate appears at $\mu_I…

High Energy Physics - Lattice · Physics 2025-12-08 Bastian B. Brandt , Volodymyr Chelnokov , Francesca Cuteri , Gergely Endrődi

We investigate the QCD phase diagram for small values of baryon and strange quark chemical potentials from simulations at non-zero isospin chemical potential. Simulations at pure isospin chemical potential are not hindered by the sign…

High Energy Physics - Lattice · Physics 2019-11-28 Bastian B. Brandt , Francesca Cuteri , Gergely Endrodi , Sebastian Schmalzbauer

We employ an Einstein-Maxwell-Dilaton (EMD) holographic model, which is known to be in good agreement with lattice results for the QCD equation of state with $(2+1)$ flavors and physical quark masses, to investigate the temperature and…

High Energy Physics - Phenomenology · Physics 2017-08-01 Romulo Rougemont , Renato Critelli , Jacquelyn Noronha-Hostler , Jorge Noronha , Claudia Ratti

QCD with a finite baryon chemical potential, despite its importance, is not well understood because the standard lattice QCD simulation is not applicable due to the sign problem. Although sign-free QCD-like theories have been studied…

High Energy Physics - Phenomenology · Physics 2011-10-26 Masanori Hanada

The microscopic spectral density of the QCD Dirac operator at nonzero baryon chemical potential for an arbitrary number of quark flavors was derived recently from a random matrix model with the global symmetries of QCD. In this paper we…

High Energy Physics - Theory · Physics 2009-11-10 G. Akemann , J. C. Osborn , K. Splittorff , J. J. M. Verbaarschot

We determine the (pseudo)critical lines of QCD with two degenerate staggered fermions at nonzero temperature and quark or isospin density, in the region of imaginary chemical potentials; analytic continuation is then used to prolongate to…

High Energy Physics - Lattice · Physics 2013-05-30 P. Cea , L. Cosmai , M. D'Elia , A. Papa , F. Sanfilippo

Solving interacting field theories at finite densities remains a numerically and conceptually challenging task, even with modern computational capabilities. In this paper, we propose a novel approach based on an expansion of the Euclidean…

High Energy Physics - Phenomenology · Physics 2026-01-27 Gabor Balassa

We investigate two-flavour and two-colour QCD at finite temperature and chemical potential in comparison with a corresponding Nambu and Jona-Lasinio model. By minimizing the thermodynamic potential of the system, we confirm that a second…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. Ratti , W. Weise

We study the thermodynamic properties of QCD at nonzero isospin chemical potential using improved staggered quarks at physical quark masses. In particular, we discuss the determination of the equation of state at zero and nonzero…

High Energy Physics - Lattice · Physics 2022-02-18 Bastian B. Brandt , Francesca Cuteri , Gergely Endrodi

In this talk we discuss the microscopic limit of QCD at nonzero chemical potential. In this domain, where the QCD partition function is under complete analytical control, we uncover an entirely new link between the spectral density of the…

High Energy Physics - Lattice · Physics 2017-08-23 J. C. Osborn , K. Splittorff , J. J. M. Verbaarschot

We study QCD at nonzero temperature and baryon density in the framework of the analytic continuation from imaginary chemical potential. We carry out simulations of QCD with four flavor of staggered fermions, and reconstruct the phase…

High Energy Physics - Lattice · Physics 2009-11-07 M. D'Elia , M. -P. Lombardo

The chiral condensate in QCD at zero temperature does not depend on the quark chemical potential (up to one third the nucleon mass), whereas the spectral density of the Dirac operator shows a strong dependence on the chemical potential. The…

High Energy Physics - Theory · Physics 2009-02-23 J. C. Osborn , K. Splittorff , J. J. M. Verbaarschot

We exploit analytic continuation to prolongate to the region of real chemical potentials the (pseudo)critical lines of QCD with two degenerate staggered fermions at nonzero temperature and quark or isospin density obtained in the region of…

High Energy Physics - Lattice · Physics 2012-10-25 P. Cea , L. Cosmai , M. D'Elia , A. Papa , F. Sanfilippo

We study the QCD phase diagram at nonzero baryon and isospin chemical potentials using the 1/Nc expansion. We find that there are two phase transitions between the hadronic phase and the quark gluon plasma phase. We discuss the consequences…

High Energy Physics - Theory · Physics 2007-05-23 D. Toublan

We investigate the Euclidean path integral formulation of QCD at finite baryon density and temperature. We show that the partition function Z can be written as a difference between two sums Z+ and Z-, each of which defines a partition…

High Energy Physics - Theory · Physics 2010-02-05 Stephen D. H. Hsu , David Reeb

The phase diagram of QCD at finite temperature and density is discussed. Large numbers of quark colors, $N_{\rm c} >> 1$, is used to explain generic features of the phase diagram. For temperatures below $ T \le 160$~MeV at zero baryon…

High Energy Physics - Phenomenology · Physics 2026-04-07 Larry McLerran

The phase structure of two-flavor QCD is explored for thermal systems with finite baryon- and isospin-chemical potentials, mu_B and mu_{iso}, by using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. The PNJL model with the…

High Energy Physics - Phenomenology · Physics 2010-12-24 Takahiro Sasaki , Yuji Sakai , Hiroaki Kouno , Masanobu Yahiro