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Related papers: A study of the sign problem for lattice QCD with c…

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Quantum chromodynamics (QCD) at sufficiently high density is expected to undergo a chiral phase transition. Understanding such a transition is of particular importance for neutron star or quark star physics. In Lagrangian SU(3) lattice…

High Energy Physics - Lattice · Physics 2009-11-07 Yi-Zhong Fang , Xiang-Qian Luo

Using Wilson fermions, we study SU(2) lattice QCD with the chemical potential at $\beta=1.6$. The ratio of fermion determinants is evaluated at each Metropolis link update step. We calculate the baryon number density, the Polyakov loops and…

High Energy Physics - Lattice · Physics 2009-10-31 S. Muroya , A. Nakamura , C. Nonaka

Once the quark chemical potential $\mu$ is introduced in finite density QCD, the fermion determinant appeared in the path integral measure becomes complex. In order to investigate the phase effect of SU(3) lattice QCD (2-flavors), we…

High Energy Physics - Lattice · Physics 2009-11-10 Y. Sasai , A. Nakamura , T. Takaishi

The severity of the sign problem in lattice QCD at nonzero baryon density is measured by the average phase of the fermion determinant. Motivated by the equivalence of chiral random matrix theory and QCD to leading order in the epsilon…

High Energy Physics - Lattice · Physics 2010-11-05 Jacques Bloch , Tilo Wettig

We study the distribution of the phase angle and the magnitude of the fermion determinant as well as its correlation with the chiral condensate and the baryon number for QCD at non-zero quark chemical potential. Results are derived to…

High Energy Physics - Lattice · Physics 2010-03-19 M. P. Lombardo , K. Splittorff , J. J. M. Verbaarschot

The domain wall formulation of lattice fermions is expected to support accurate chiral symmetry, even at finite lattice spacing. Here we attempt to use this new fermion formulation to simulate two-flavor, finite temperature QCD near the…

High Energy Physics - Lattice · Physics 2009-10-31 P. Chen , N. Christ , G. Fleming , A. Kaehler , C. Malureanu , R. Mawhinney , G. Siegert , C. Sui , P. Vranas , L. Wu , Y. Zhestkov

We review our results for lattice QCD at finite temperature and density from analytical and numerical calculations with Wilson fermions and overlap fermions.

High Energy Physics - Lattice · Physics 2009-04-25 Xiang-Qian Luo , He-Sheng Chen , Xiao-Lu Yu

We present results for phase structure of lattice QCD with two degenerate flavors ($N_f=2$) of Wilson quarks at finite temperature $T$ and small baryon chemical potential $\mu_B$. Using the imaginary chemical potential for which the fermion…

High Energy Physics - Lattice · Physics 2008-11-26 Liang-Kai Wu , Xiang-Qian Luo , He-Sheng Chen

The first results on lattice at finite temperature $T$ and chemical potential $\mu$ with 2+1 flavors of Wilson quarks are presented. We have studied the dependence of chiral phase transition and deconfinement phase transition on quark mass.…

High Energy Physics - Lattice · Physics 2007-05-23 He-Sheng Chen , Xiang-Qian Luo

A nonperturbative lattice study of QCD at finite chemical potential is complicated due to the complex fermion determinant and the sign problem. Here we apply the method of stochastic quantization and complex Langevin dynamics to this…

High Energy Physics - Lattice · Physics 2009-02-09 Gert Aarts , Ion-Olimpiu Stamatescu

The expectation value of the complex phase factor of the fermion determinant is computed to leading order in the $p$-expansion of the chiral Lagrangian. The computation is valid for $\mu<m_\pi/2$ and determines the dependence of the sign…

High Energy Physics - Lattice · Physics 2008-11-26 K. Splittorff , J. J. M. Verbaarschot

The expectation value of the complex phase factor of the fermion determinant is computed in the microscopic domain of QCD at nonzero chemical potential. We find that the average phase factor is non-vanishing below a critical value of the…

High Energy Physics - Lattice · Physics 2008-11-26 K. Splittorff , J. J. M. Verbaarschot

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

We calculate an analogue of the average phase factor of the staggered fermion determinant at imaginary chemical potential. Our results from the lattice agree well with the analytical predictions in the microscopic regime for both quenched…

High Energy Physics - Lattice · Physics 2008-11-26 K. Splittorff , B. Svetitsky

We propose a new framework for investigating two-flavor lattice QCD with finite temperature and density. We consider the Karsten-Wilczek fermion formulation, in which a species-dependent imaginary chemical potential term can reduce the…

High Energy Physics - Lattice · Physics 2012-11-08 Tatsuhiro Misumi , Taro Kimura , Akira Ohnishi

We present results of an ongoing study of two flavour QCD with Wilson fermions at finite temperature. We have used tree level Symanzik improvement in both the gauge and fermion part of the action. The phase diagram was previously determined…

High Energy Physics - Lattice · Physics 2009-10-31 F. Karsch , E. Laermann , M. Oevers , P. Schmidt

We analyze canonical fermion determinants, i.e., fermion determinants projected to a fixed quark number q. The canonical determinants are computed using a dimensional reduction formula and are studied for pure SU(3) gauge configurations in…

High Energy Physics - Lattice · Physics 2015-03-13 Erek Bilgici , Julia Danzer , Christof Gattringer , C. B. Lang , Ludovit Liptak

Results of the study of lattice QCD with two flavors of nonperturbatively improved Wilson fermions at finite temperature are presented. The transition temperature for m_{\pi}/m_{\rho} \sim 0.8 and lattice spacing a \sim 0.12 fm is…

High Energy Physics - Lattice · Physics 2017-08-23 V. Bornyakov , M. Chernodub , Y. Koma , Y. Mori , Y. Nakamura , M. Polikarpov , G. Schierholz , D. Sigaev , A. Slavnov , H. Stüben , T. Suzuki , P. Uvarov , A. Veselov

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

We simulate lattice QCD at finite quark-number chemical potential to study nuclear matter, using the complex Langevin equation (CLE). The CLE is used because the fermion determinant is complex so that standard methods relying on importance…

High Energy Physics - Lattice · Physics 2018-04-18 D. K. Sinclair , J. B. Kogut
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