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Low energy hadron phenomenology involving the (u,d,s) quarks is often approached through effective multi-quark Lagrangians with the symmetries of QCD. A very successful approach consists in taking the four-quark Nambu--Jona-Lasinio…

High Energy Physics - Phenomenology · Physics 2008-12-19 Brigitte Hiller , Alexander A. Osipov , Veronique Bernard , Alex H. Blin

We determine the equation of state of 2+1-flavor QCD with physical quark masses, in the presence of a constant (electro)magnetic background field on the lattice. To determine the free energy at nonzero magnetic fields we develop a new…

High Energy Physics - Lattice · Physics 2015-06-19 G. S. Bali , F. Bruckmann , G. Endrodi , S. D. Katz , A. Schafer

We study generic properties of strongly interacting matter at finite density as relevant to heavy-ion collisions at moderate beam energies or the physics of neutron stars and their mergers. Because of the fermion-sign problem in lattice…

High Energy Physics - Lattice · Physics 2017-02-02 Björn H. Wellegehausen , Lorenz von Smekal

We investigate the quark contribution to the equation of state (EOS) of the isospin QCD matter using the two-flavor quark meson model at finite isospin density. This model includes the quark degrees of freedom through the lowest order of…

High Energy Physics - Phenomenology · Physics 2024-04-22 Ryuji Chiba

We study the phase diagram for two-color QCD in three-dimensional spacetime, as a function of temperature and baryon chemical potential, using the low-energy effective Lagrangian approach. We show one-loop renormalizability at zero…

High Energy Physics - Phenomenology · Physics 2010-04-05 Gerald V. Dunne , Shinsuke M. Nishigaki

We discuss the spectrum of the QCD Dirac operator both at zero and at nonzero baryon chemical potential. We show that, in the ergodic domain of QCD, the Dirac spectrum can be obtained from the replica limit of a Toda lattice equation. At…

High Energy Physics - Theory · Physics 2017-08-23 K. Splittorff , J. J. M. Verbaarschot

Whether Quantum Chromodynamics (QCD) exhibits a phase transition at finite temperature and density is an open question. It is important for hydrodynamic modeling of heavy ion collisions and neutron star mergers. Lattice QCD simulations have…

Nuclear Theory · Physics 2022-10-19 J. I. Kapusta , T. Welle

A new thermal regime of QCD, featuring decoupled scale-invariant infrared glue, has been proposed to exist both in pure-glue (N$_f$=0) and ``real-world" (N$_f$=2+1 at physical quark masses) QCD. In this {\it IR phase}, elementary degrees of…

High Energy Physics - Lattice · Physics 2024-11-26 Xiao-Lan Meng , Peng Sun , Andrei Alexandru , Ivan Horváth , Keh-Fei Liu , Gen Wang , Yi-Bo Yang

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 QCD-like theories which do not suffer from the sign…

High Energy Physics - Lattice · Physics 2012-09-26 Masanori Hanada

In this paper we report on lattice simulations of SU(3)-QCD with non-zero chiral chemical potential. We focus on the influence of the chiral chemical potential on the confinement/deconfinement phase transition and the breaking/restoration…

High Energy Physics - Lattice · Physics 2016-03-02 V. V. Braguta , E. -M. Ilgenfritz , A. Yu. Kotov , B. Petersson , S. A. Skinderev

Gluon and quark contributions to the thermodynamic potential (free energy) of a (2+1)-dimensional QCD model at finite temperature in the background of a constant homogeneous chromomagnetic field H combined with A_0 condensate are…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Ch. Zhukovsky , V. V. Khudyakov

Lattice techniques are the most reliable ones to investigate the QCD phase diagram in the temperature-baryon density (chemical potential) plane. These techniques are, however, well-known to be saddled with a variety of problems at nonzero…

High Energy Physics - Lattice · Physics 2021-12-01 Rajiv V. Gavai

The Hamiltonian formulation of Lattice QCD with staggered fermions in the strong coupling limit has no sign problem at non-zero baryon density and allows for Quantum Monte Carlo simulations. We have extended this formalism to two flavors,…

High Energy Physics - Lattice · Physics 2022-12-23 Pratitee Pattanaik , Wolfgang Unger

We perform a numerical study of the systematic effects involved in the determination of the critical line at real baryonic chemical potential by analytic continuation from results obtained at imaginary chemical potentials. We present…

High Energy Physics - Lattice · Physics 2009-10-12 Paolo Cea , Leonardo Cosmai , Massimo D'Elia , Chiara Manneschi , Alessandro Papa

We derive here the equation of state for quark matter with a nontrivial vacuum structure in QCD at finite temperature and baryon density. Using thermofield dynamics, the parameters of thermal vacuum and the gluon condensate function are…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Mishra H. Mishra , S. P. Misra

We summarize the derivation of the finite temperature, finite chemical potential thermodynamic potential in the bag-model approximation to quantum chromodynamics (QCD) that includes a finite $s$-quark mass in the Feynman diagram…

High Energy Physics - Phenomenology · Physics 2020-02-13 Mayukh R. Gangopadhyay , Grant J. Mathews , J. Pocahontas Olson

The phase diagram of two color QCD under influence of baryon density ($\mu_B$), isospin ($\mu_I$), chiral ($\mu_5$ and $\nu_5$) imbalances is investigated within the framework NJL model approach. This letter establishes the existence of…

High Energy Physics - Phenomenology · Physics 2026-02-27 K. G. Klimenko , R. N. Zhokhov

We discuss phase transitions in relativistic systems as a function of both chemical potential and temperature. The presence of a chemical potential explicitly breaks Lorentz invariance and may additionally break other internal symmetries.…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Splittorff , J. T. Lenaghan , J. Wirstam

The goal of this paper is to arrive at a low energy effective theory of QCD with two massless flavors of quarks at very high isospin density and zero baryon density. In a seminal paper by Son and Stephanov in the year 2001, it was…

High Energy Physics - Phenomenology · Physics 2015-10-01 Thomas D. Cohen , Srimoyee Sen

The QCD thermodynamics on the lattice provides fundamental theoretical grounds to analyze the various experimental data in relativistic heavy ion collisions. So far, most of the numerical simulations on the lattice have been performed by…

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