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We study lattice two-color QCD (QC$_2$D) with two flavors of staggered fermions at imaginary and real quark chemical potential $\mu_q$ and $T>T_c$. We employ various methods of extrapolation of the quark number density from imaginary to…

High Energy Physics - Lattice · Physics 2024-12-16 A. Begun , V. G. Bornyakov , N. V. Gerasimeniuk , V. A. Goy , A. Nakamura , R. N. Rogalyov

We determine the continuum limit of the curvature of the pseudocritical line of QCD with $n_f$=2+1 staggered fermions at nonzero temperature and quark density. We perform Monte Carlo simulations at imaginary baryon chemical potentials,…

High Energy Physics - Lattice · Physics 2016-01-27 Paolo Cea , Leonardo Cosmai , Alessandro Papa

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

The 2+1d Gross-Neveu model with finite density and finite temperature are studied by the staggered fermion discretization. The kinetic part of this staggered fermion in momentum space is used to build the relation between the staggered…

High Energy Physics - Lattice · Physics 2021-05-05 Daming Li

I review recent developments in determining the QCD phase diagram by means of lattice simulations. Since the invention of methods to side-step the sign problem a few years ago, a number of additional variants have been proposed, and…

High Energy Physics - Lattice · Physics 2007-05-23 Owe Philipsen

We present numerical results for the location of the chiral critical line at finite temperature and zero and non-zero baryon density for QCD with N_f=2+1 flavours of staggered fermions on lattices with temporal extent N_t=4. For degenerate…

High Energy Physics - Lattice · Physics 2010-10-27 Philippe de Forcrand , Owe Philipsen

We review a method for numerical simulations of lattice gauge theories at non-zero baryonic chemical potential we recently proposed. We first report on a test of the method using a solvable model and then present results for the phase…

High Energy Physics - Lattice · Physics 2007-05-23 Vicente Azcoiti , Giuseppe Di Carlo , Angelo Galante , Victor Laliena

We study lattice QCD at non-vanishing chemical potential using the complex Langevin equation. We compare the results with multi-parameter reweighting both from $\mu=0$ and phase quenched ensembles. We find a good agreement for lattice…

High Energy Physics - Lattice · Physics 2015-12-02 Z. Fodor , S. D. Katz , D. Sexty , C. Török

We studied the QCD phase transition as a function of quark mass in the $N_f=3$ QCD at vanishing baryon density. Lattice simulations have been performed using Highly Improved Staggered Quarks on $N_{\tau}=6$ lattices with quark masses that…

High Energy Physics - Lattice · Physics 2011-11-02 H. -T. Ding , A. Bazavov , P. Hegde , F. Karsch , S. Mukherjee , P. Petreczky

We study four flavor QCD at nonzero temperature and density by analytic continuation from an imaginary chemical potential. The explored region is T = 0.95 T_c < T < 3.5 T_c, and the baryochemical potentials range from 0 to approx. 500 MeV.…

High Energy Physics - Lattice · Physics 2011-09-29 Massimo D'Elia , Maria Paola Lombardo

Spinless fermions on highly frustrated lattices are characterized by a lowest single-particle band which is completely flat. Concrete realizations are provided by the sawtooth chain and the kagome lattice. For these models a real-space…

Strongly Correlated Electrons · Physics 2015-03-03 A. Honecker , J. Richter

We present continuum-estimated (2+1)-flavor lattice QCD results for second-order fluctuations of conserved charges and the leading-order equation of state in the presence of strong magnetic fields at nonzero baryon chemical potential, using…

High Energy Physics - Lattice · Physics 2026-04-02 Heng-Tong Ding , Jin-Biao Gu , Arpith Kumar , Sheng-Tai Li

We have studied the 3-flavor, finite temperature, QCD phase transition with staggred fermions on an $ N_t=4$ lattice. By studying a variety of quark masses we have located the critical point, $m_c$, where the first order 3-flavor transition…

High Energy Physics - Lattice · Physics 2007-05-23 X. Liao

This paper explores properties of baryons and finite density baryonic matter in an artificial world in which Nc, the number of colors, is large and the quarks of all species are degenerate and much larger than {\Lambda}_QCD. It has long…

Nuclear Theory · Physics 2015-03-18 Thomas D. Cohen , Nilay Kumar , Kamal K. Ndousse

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 propose a new framework for investigating two-flavor lattice QCD with finite temperature and density by applying the Karsten-Wilczek lattice fermion, in which a species-dependent imaginary chemical potential can reduce the number of…

High Energy Physics - Lattice · Physics 2012-12-21 Taro Kimura , Tatsuhiro Misumi , Akira Ohnishi

Lattice QCD with heavy quarks reduces to a three-dimensional effective theory of Polyakov loops, which is amenable to series expansion methods. We analyse the effective theory in the cold and dense regime for a general number of colours,…

High Energy Physics - Lattice · Physics 2020-01-08 Owe Philipsen , Jonas Scheunert

We investigate the deconfining phase transition in SU(3) pure gauge theory and in full QCD with two flavors of staggered fermions by means of a gauge invariant thermal partition functional. In the pure gauge case our finite size scaling…

High Energy Physics - Lattice · Physics 2008-11-26 P. Cea , L. Cosmai , M. D'Elia

In this paper we carry out a low-temperature scan of the phase diagram of dense two-color QCD with $N_f=2$ quarks. The study is conducted using lattice simulation with rooted staggered quarks. At small chemical potential we observe the…

High Energy Physics - Lattice · Physics 2016-12-19 V. V. Braguta , E. -M. Ilgenfritz , A. Yu. Kotov , A. V. Molochkov , A. A. Nikolaev

I give a status report on the validity of the so-called ``fourth-root trick'', i.e. the procedure of representing the determinant for a single fermion by the fourth root of the staggered fermion determinant. This has been used by the MILC…

High Energy Physics - Lattice · Physics 2011-05-05 Stephen R. Sharpe