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Related papers: Exploring Complex-Langevin Methods for Finite-Dens…

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We study the density of states method as well as reweighting to explore the low temperature phase diagram of QCD at finite baryon chemical potential. We use four flavors of staggered quarks, a tree-level Symanzik improved gauge action and…

High Energy Physics - Lattice · Physics 2018-10-24 G. Endrodi , Z. Fodor , S. D. Katz , D. Sexty , K. K. Szabo , Cs. Torok

The properties of matter at finite baryon densities play an important role for the astrophysics of compact stars as well as for heavy ion collisions or the description of nuclear matter. Because of the sign problem of the quark determinant,…

High Energy Physics - Lattice · Physics 2017-04-05 Owe Philipsen

SU(2) lattice gauge theory with dynamical fermion at non-zero chemical potential and at finite temperature is studied. We focus on the influence of chemical potential for quark condensate and mass of pseudoscalar meson at finite…

High Energy Physics - Lattice · Physics 2019-08-17 Y. Liu , O. Miyamura , A. Nakamura , T. Takaishi

We evaluate quark number densities at imaginary chemical potential by lattice QCD with clover-improved two-flavor Wilson fermion. The quark number densities are extrapolated to the small real chemical potential region by assuming some…

High Energy Physics - Lattice · Physics 2014-10-31 Junichi Takahashi , Junpei Sugano , Masahiro Ishii , Hiroaki Kouno , Masanobu Yahiro

We discuss a recent approach for overcoming the poor convergence of the perturbative expansion for the thermodynamic potential of QCD. This approach is based on self-consistent approximations which allow for a gauge-invariant and manifestly…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. -P. Blaizot , E. Iancu , A. Rebhan

We discuss the flavor number dependence of QCD at low temperature and high density by the complex Langevin method. In our previous work, the complex Langevin method is confirmed to satisfy the criterion for correct convergence in certain…

We compare the chemical potential associated with the onset of non-zero baryon number density on $6^4$ and $8^4$ lattices at $\beta=5.1$ and ma=0.01. We provide evidence for $Z(3)$ tunnelling. We determine a critical chemical potential of…

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

We investigate temperature ($T$) dependence of quark number densities ($n_q$) at imaginary and real chemical potential ($\mu$) by using $N_f = 2$ lattice QCD and the hadron resonance gas (HRG) model. Quark number densities are calculated at…

High Energy Physics - Lattice · Physics 2015-06-23 Junichi Takahashi , Hiroaki Kouno , Masanobu Yahiro

We present lattice simulations on the phase diagram of Quantum Chromodynamics (QCD) with two light quark flavours at finite chemical potential $\mu$. To circumvent the sign problem we use the complex Langevin method. In this study, we have…

High Energy Physics - Lattice · Physics 2022-03-25 Felipe Attanasio , Benjamin Jäger , Felix P. G. Ziegler

QCD is expected to have a rich phase structure. It is empirically known to be difficult to access low temperature and nonzero chemical potential $\mu$ regions in lattice QCD simulations. We address this issue in a lattice QCD with the use…

High Energy Physics - Lattice · Physics 2012-06-08 Keitaro Nagata , Shinji Motoki , Yoshiyuki Nakagawa , Atsushi Nakamura , Takuya Saito

We report recent results of a non-perturbative determination of the static heavy-quark potential in quenched and dynamical lattice QCD at finite temperature. The real and imaginary part of this complex quantity are extracted from the…

High Energy Physics - Lattice · Physics 2014-11-13 Yannis Burnier , Olaf Kaczmarek , Alexander Rothkopf

QCD at finite isospin chemical potential mu_I has no fermion sign problem and can be studied on the lattice. We solve this theory analytically in two limits: at low mu_I where chiral perturbation theory is applicable, and at asymptotically…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. T. Son , M. A. Stephanov

We perform simulations of (3-colour) QCD with 2 quark flavours at a finite chemical potential $\mu_I$ for isospin($I_3$), and of 2-colour QCD at a finite chemical potential $\mu$ for quark number. At zero temperature, QCD at finite $\mu_I$…

High Energy Physics - Lattice · Physics 2008-11-26 D. K. Sinclair , J. B. Kogut , D. Toublan

We study the deconfinement transition line in QCD for quark chemical potentials up to $\mu_q \sim 5 T$ ($\mu_B \sim 15 T$). To circumvent the sign problem we use the complex Langevin equation with gauge cooling. The plaquette gauge action…

High Energy Physics - Lattice · Physics 2020-08-05 M. Scherzer , D. Sexty , I. -O. Stamatescu

QCD is investigated at finite temperature using Wilson fermions in the fixed scale approach. A 2+1 flavor stout and clover improved action is used at four lattice spacings allowing for control over discretization errors. The light quark…

In this paper we study the confinement/deconfinement transition in lattice $SU(2)$ QCD at finite quark density and zero temperature. The simulations are performed on an $32^4$ lattice with rooted staggered fermions at a lattice spacing $a =…

High Energy Physics - Lattice · Physics 2018-04-17 V. G. Bornyakov , V. V. Braguta , E. -M. Ilgenfritz , A. Yu. Kotov , A. V. Molochkov , A. A. Nikolaev

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

The status of lattice QCD investigations at high temperature is reviewed. After a short introduction into thermal QCD on the lattice we report on the present understanding of the phase diagram and the equation of state, in particular in…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Laermann , O. Philipsen

We carry out a finite density calculation based on a canonical approach which is designed to address the overlap problem. Two degenerate flavor simulations are performed using Wilson gauge action and Wilson fermions on $4^4$ lattices, at…

High Energy Physics - Lattice · Physics 2016-08-16 Andrei Alexandru , Manfried Faber , Ivan Horváth , Keh-Fei Liu

Lattice formulation of Finite Baryon Density QCD is problematic from computer simulation point of view; it is well known that for light quark masses the reconstructed partition function fails to be positive in a wide region of parameter…

High Energy Physics - Lattice · Physics 2009-12-30 R. Aloisio , V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo