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As an extension of $QCD$, consider a theory with ``$2+1$'' flavors, where the current quark masses are held in a fixed ratio as the overall scale of the quark masses is varied. At nonzero temperature and baryon density it is expected that…

High Energy Physics - Phenomenology · Physics 2009-12-30 S. Gavin , A. Gocksch , R. D. Pisarski

We have simulated lattice QCD with 2 flavours of massless staggered quarks. An irrelevant chiral 4-fermion interaction was added to the standard quark action to allow us to simulate at zero quark mass. Thermodynamics was studied on lattices…

High Energy Physics - Lattice · Physics 2009-11-07 J. B. Kogut , D. K. Sinclair

We discuss properties of Quantum Chromodynamics at finite temperature obtained by means of lattice simulations with overlap fermions. This fermion discretization preserves chiral symmetry even at finite lattice spacing. We present details…

High Energy Physics - Lattice · Physics 2024-01-08 Z. Fodor , A. Yu. Kotov , K. Szabo

We study the influence of the chiral phase transition on the chiral magnetic effect. The chiral electric current density along the magnetic field, the electric charge difference between on each side of the reaction plane, and the azimuthal…

High Energy Physics - Phenomenology · Physics 2015-05-18 Wei-jie Fu , Yu-xin Liu , Yue-liang Wu

First principle study of QCD at finite temperature $T$ and chemical potential $\mu$ is essential for understanding a wide range of phenomena from heavy-ion collisions to cosmology and neutron stars. However, in the presence of finite…

High Energy Physics - Lattice · Physics 2009-11-10 Xiang-Qian Luo

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 consider thermal QCD in the large N_C limit, mainly in 1+1 dimensions. The gauge coupling is only taken into account to minimal order, by projection onto colour singlets. An expression for the free energy, exact as N_C goes to infinity,…

High Energy Physics - Phenomenology · Physics 2016-09-06 Joakim Hallin , David Persson

We present a phase diagram study of the O(4) model as an effective theory for 2-flavor QCD. In the chiral limit, both theories perform spontaneous symmetry breaking with isomorphic groups, which suggests that they belong to the same…

Lattice QCD in a dual formulation with staggered fermions is well established in the strong coupling limit and allows to perform Monte Carlo simulations at finite baryon chemical potential. We have recently addressed the dependence of the…

High Energy Physics - Lattice · Physics 2019-12-03 Jangho Kim , Owe Philipsen , Wolfgang Unger

Scaling behavior is analyzed for the two-flavor QCD lattice gauge theory chiral transition. Leading scaling behavior and correction to leading scaling from lattice spacing effects are examined for the quark condensate. Scaling predictions…

High Energy Physics - Phenomenology · Physics 2009-10-28 Arjun Berera

The chiral susceptibility, or the first derivative of the chiral condensate with respect to the quark mass, is often used as a probe for the QCD phase transition since the chiral condensate is an order parameter of $SU(2)_L \times SU(2)_R$…

High Energy Physics - Lattice · Physics 2022-01-06 S. Aoki , Y. Aoki , H. Fukaya , S. Hashimoto , C. Rohrhofer , K. Suzuki

We calculate universal finite size scaling functions for the order parameter and the longitudinal susceptibility of the three-dimensional O(4) model. The phase transition of this model is supposed to be in the same universality class as the…

High Energy Physics - Lattice · Physics 2015-06-18 J. Engels , F. Karsch

We review studies of QCD thermodynamics by lattice QCD simulations with dynamical Wilson quarks. After explaining the basic properties of QCD with Wilson quarks at finite temperature including the phase structure and the scaling properties…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri

In this proceeding, we discuss the finite-size scaling analysis of the order parameter related to the chiral phase transition in QCD with two massless quarks. We use data obtained in lattice QCD calculations performed with highly improved…

High Energy Physics - Lattice · Physics 2026-04-01 Sabarnya Mitra , Jishnu Goswami , Frithjof Karsch

Near the critical temperature of the chiral phase transition, a collective excitation due to fluctuation of the chiral order parameter appears. We investigate how it affects the quark spectrum near but above the critical temperature. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Masakiyo Kitazawa , Teiji Kunihiro , Yukio Nemoto

At sufficiently high temperature and density, quantum chromodynamics (QCD) is expected to undergo a phase transition from the confined phase to the quark-gluon plasma phase. In the Lagrangian lattice formulation the Monte Carlo method works…

High Energy Physics - Lattice · Physics 2009-10-31 E. B. Gregory , S. Guo , H. Kroger , Xiang-Qian Luo

We discuss the relation between the Polyakov loop and the chiral order parameter at finite temperature. For that purpose we analyse an effective model proposed by Gocksch and Ogilvie, which is constructed by the double expansion of strong…

High Energy Physics - Phenomenology · Physics 2009-11-07 Kenji Fukushima

We discuss the QCD phase diagram from two different point of view. We first investigate the phase diagram structure in the strong coupling lattice QCD with Polyakov loop effects, and show that the the chiral and Z_{N_c} deconfinement…

Nuclear Theory · Physics 2012-01-31 A. Ohnishi , K. Miura , T. Z. Nakano , N. Kawamoto , H. Ueda , M. Ruggieri , K. Sumiyoshi

On the basis of the NJL model as an effective theory of QCD and analogies with condensed matter physics, we extract simple physical pictures of the chiral phase transition at finite temperature $T$ and/or chemical potential $\mu$ and…

High Energy Physics - Phenomenology · Physics 2011-04-15 Teiji Kunihiro

At zero chemical potential mu, the order of the temperature-driven quark-hadron transition depends on the quark masses m_{u,d} and m_s. Along a critical line bounding the region of first-order chiral transitions in the (m_{u,d},m_s) plane,…

High Energy Physics - Lattice · Physics 2010-01-21 Philippe de Forcrand , Owe Philipsen