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Related papers: Simulating QCD at finite density

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I will review the finite density algorithm for lattice QCD based on finite chemical potential and summarize the associated difficulties. I will propose a canonical ensemble approach which projects out the finite baryon number sector from…

High Energy Physics - Lattice · Physics 2009-11-07 Keh-Fei Liu

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 determine the pseudo-critical couplings at imaginary chemical potentials by high-statistics Monte Carlo simulations of QCD with four degenerate quarks at non-zero temperature and baryon density by the method of analytic continuationan.…

High Energy Physics - Lattice · Physics 2010-12-23 P. Cea , L. Cosmai , M. D'Elia , A. Papa

We propose a practical way of circumventing the sign problem in lattice QCD simulations with a theta-vacuum term. This method is the reweighting method for the QCD Lagrangian after the U_A(1) transformation. In the Lagrangian, the P-odd…

High Energy Physics - Phenomenology · Physics 2013-03-14 Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

Finite density lattice QCD usually relies on extrapolations in baryon chemical potential ($\mu_B$), be it Taylor expansion, T' expansion (\cite{Borsanyi:2021sxv}) or analytical continuation. However, their range of validity is difficult to…

We review the equation of state of QCD matter at finite densities. We discuss the construction of the equation of state with net baryon number, electric charge, and strangeness using the results of lattice QCD simulations and hadron…

Nuclear Theory · Physics 2021-04-21 Akihiko Monnai , Björn Schenke , Chun Shen

The ability to describe strongly interacting matter at finite temperature and baryon density provides the means to determine, for instance, the equation of state of QCD at non-zero baryon chemical potential. From a theoretical point of…

High Energy Physics - Lattice · Physics 2019-01-30 Felipe Attanasio , Benjamin Jäger

We propose a new method for simulating QCD at finite density, where interesting phases such as the color superconductivity phase is conjectured to appear. The method is based on a general factorization property of distribution functions of…

High Energy Physics - Lattice · Physics 2017-08-23 Jun Nishimura

Extending the successes of lattice quantum chromodynamics(QCD) at zero as well as nonzero temperatures to nonzero density is extremely desirable in view of the quest for the QCD phase diagram both theoretically and experimentally. It turns…

High Energy Physics - Lattice · Physics 2020-11-25 Rajiv V. Gavai

The QCD baryon number density can formally be expanded into a Laurent series in fugacity, which is a relativistic generalization of Mayer's cluster expansion. We determine properties of the cluster expansion in a model with a phase…

High Energy Physics - Phenomenology · Physics 2020-01-23 Volodymyr Vovchenko , Carsten Greiner , Volker Koch , Horst Stoecker

We present realistic equations of state for QCD matter at vanishing net-baryon density which embed recent lattice QCD results at high temperatures combined with a hadron resonance gas model in the low-temperature, confined phase. In the…

High Energy Physics - Phenomenology · Physics 2014-07-17 M. Bluhm , P. Alba , W. Alberico , A. Beraudo , C. Ratti

Lattice data on QCD thermodynamics, especially recent study of high order susceptibilities by UK-Bielefeld collaboration, have provided valuable information about matter properties around and above the critical temperature $T_c$. In this…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jinfeng Liao , Edward V. Shuryak

We point out that SO(2N_{c}) gauge theory with N_{f} fundamental Dirac fermions does not have a sign problem at finite baryon number chemical potential \mu_{B}. One can thus use lattice Monte Carlo simulations to study this theory at finite…

High Energy Physics - Theory · Physics 2011-04-19 Aleksey Cherman , Masanori Hanada , Daniel Robles-Llana

We report an investigation of criticality in QCD at finite isovector chemical potential, mu_3, and at zero temperature. At the critical point, mu_3^c = m_pi, we find that an uncharged scalar and pseudoscalar and a charged pseudoscalar meson…

High Energy Physics - Lattice · Physics 2007-05-23 Sourendu Gupta

Quantum field theories at finite matter densities generically possess a partition function that is exponentially suppressed with the volume compared to that of the phase quenched analogue. The smallness arises from an almost uniform…

High Energy Physics - Lattice · Physics 2017-08-02 Nicolas Garron , Kurt Langfeld

The behavior of QCD at high baryon density and low temperature is crucial to understanding the properties of neutron stars and gravitational waves emitted during their mergers. In this paper we study small systems of baryons in periodic…

Nuclear Theory · Physics 2018-09-05 Stefano Gandolfi , Joseph Carlson , Alessandro Roggero , Joel Lynn , Sanjay Reddy

In this paper we study thermodynamic properties of dense cold $SU(2)$ QCD within lattice simulation with dynamical rooted staggered quarks which in the continuum limit correspond to $N_f=2$ quark flavours. We calculate baryon density,…

High Energy Physics - Lattice · Physics 2020-11-04 N. Astrakhantsev , V. V. Braguta , E. -M. Ilgenfritz , A. Yu. Kotov , A. A. Nikolaev

Due to the sign problem, it is exponentially difficult to study QCD on the lattice at finite chemical potential. We propose a method --an overlap improving multi-parameter reweighting technique-- to alleviate this problem. We apply this…

High Energy Physics - Lattice · Physics 2009-07-09 Z. Fodor , S. D. Katz

Due to the fermion sign problem, standard lattice Monte-Carlo method for QCD fail at small temperatures and high baryon densities. $G_2$-QCD, QCD with the gauge group $SU(3)$ replaced by the exceptional Lie group $G_2$, can be simulated…

High Energy Physics - Lattice · Physics 2013-11-05 Lorenz von Smekal , Bjoern H. Wellegehausen , Axel Maas , Andreas Wipf

An algorithm to simulate full QCD with 3 colours at nonzero chemical potential on the lattice is proposed. The algorithm works for small values of the chemical potential and can be used to extract expectation values of CPT invariant…

High Energy Physics - Lattice · Physics 2016-09-01 B. Alles , E. M. Moroni
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