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A new method of employing an isospin chemical potential for QCD-like theories with different number of colors, number of fermion flavors, and in different fermion representations is proposed. The isospin chemical potential, which can be…

High Energy Physics - Lattice · Physics 2013-05-30 Michael I. Buchoff

The equation of state of Quantum Chromodynamics (QCD) at finite density is currently known only in a limited range in the baryon chemical potential $\mu_B$. This is due to fundamental shortcomings of traditional methods such as Taylor…

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

Recent lattice QCD calculations strongly indicate that the chiral crossover of QCD at zero baryon chemical potential \mu_B is a remnant of the second-order chiral phase transition. Universal properties of this second-order phase transition…

High Energy Physics - Phenomenology · Physics 2021-04-21 Swagato Mukherjee , Vladimir Skokov

We present a new perturbative approach to QCD based on the use of quark composites with hadronic quantum numbers as fundamental variables. We apply it to the case of the nucleons by performing a nonlinear change of variables in the Berezin…

High Energy Physics - Theory · Physics 2009-10-31 G. De Franceschi , F. Palumbo

The location of the critical end point of QCD has been determined in previous studies of $N_f=2+1$ and $N_f=2+1+1$ dynamical quark flavors using a (truncated) set of Dyson-Schwinger equations for the quark and gluon propagators of…

High Energy Physics - Phenomenology · Physics 2016-02-17 Gernot Eichmann , Christian S. Fischer , Christian A. Welzbacher

We investigate the QCD chiral phase transition at finite temperature and finite baryon density using the functional Renormalization Group (fRG). While conventional fRG studies often employ techniques such as dynamical bosonization to…

High Energy Physics - Phenomenology · Physics 2025-12-22 Yuepeng Guan , Masatoshi Yamada

I review recent progress in numerical simulations of finite temperature quantum chromodynamics and discuss the status of some outstanding problems. Included is (1) a discussion of recent results determining the temperature of the ``phase…

High Energy Physics - Lattice · Physics 2008-11-26 C. DeTar

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

I review recent lattice QCD results on a few selected topics which are relevant to the heavy ion physics community. Special emphasis is put on the QCD equation of state at vanishing and nonzero baryon chemical potential, the onset of…

High Energy Physics - Lattice · Physics 2015-06-22 Heng-Tong Ding

Extending the successes of lattice quantum chromodynamics(QCD) at zero as well as nonzero temperatures to nonzero density is extremely desirable in view of the quest for the QCD phase diagram both theoretically and experimentally. It turns…

High Energy Physics - Lattice · Physics 2020-11-25 Rajiv V. Gavai

We construct a family of equations of state for QCD in the temperature range 30 MeV $\leq T\leq$ 800 MeV and in the chemical potential range $0\leq \mu_B \leq$ 450 MeV. These equations of state match available lattice QCD results up to…

The temperature dependence of the chiral condensate in isospin-symmetric nuclear matter at varying baryon densities is investigated starting from a realistic free energy density of the correlated nuclear many-body system. The framework is…

Nuclear Theory · Physics 2011-04-15 S. Fiorilla , N. Kaiser , W. Weise

We study the thermal static potential for (2+1)-flavor QCD at nonzero density through a Taylor expansion around vanishing chemical potentials. From Taylor expanded Wilson line correlators, we extract the $\hat{\mu}^2$ coefficient of the…

High Energy Physics - Lattice · Physics 2026-04-01 Jishnu Goswami , Dibyendu Bala , Olaf Kaczmarek

We study the phase diagram of two-flavor massless two-color QCD (QC$_2$D) under the presence of quark chemical potentials and imaginary isospin chemical potentials. At the special point of the imaginary isospin chemical potential, called…

High Energy Physics - Theory · Physics 2020-08-19 Takuya Furusawa , Yuya Tanizaki , Etsuko Itou

Neither the chiral limit nor finite baryon density can be simulated directly in lattice QCD, which severely limits our understanding of the QCD phase diagram. In this review I collect results for the phase structure in an extended parameter…

High Energy Physics - Lattice · Physics 2019-12-11 Owe Philipsen

We discuss the Taylor expansion approach to non-zero baryon chemical potential ($\mu_B$) and present results on expanion coefficients of the pressure and energy density up to the 6-th order in $\mu_B$. Calculations have been performed with…

High Energy Physics - Lattice · Physics 2010-01-21 Chuan Miao , Christian Schmidt , for RBC-Bielefeld Collaboration

We explore the phase diagram of two-flavor QCD at imaginary values of baryon and isospin chemical potentials analyzing the thermodynamic potential of QCD analytically and that of the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model…

High Energy Physics - Phenomenology · Physics 2015-03-13 Yuji Sakai , Hiroaki Kouno , Masanobu Yahiro

We explore the highly non-perturbative hot region of the QCD phase diagram close to Tc by use of an imaginary chemical potential mu which avoids the sign problem. The number density and the quark number susceptibility are consistent with a…

High Energy Physics - Lattice · Physics 2008-11-26 Massimo D'Elia , Francesco Di Renzo , Maria Paola Lombardo

We present a method of simulating lattice QCD at nonzero chemical potential in the chiral limit. By adding a weak four-fermi interaction to the standard staggered fermion SU(3) QCD action, we produce an algorithm in which the limit of…

High Energy Physics - Lattice · Physics 2009-10-28 I. M. Barbour , S. E. Morrison , John B. Kogut
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