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Related papers: Lee-Yang zero analysis for the study of QCD phase …

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We use the Nambu--Jona-Lasinio model to study the effects of the isospin chemical potential on the QCD phase diagram at nonzero temperature and baryon chemical potential. We find that the phase diagram is qualitatively altered by a small…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Toublan , J. B. Kogut

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

We propose a new general method to study critical points (CP) using the finite-size scaling of Lee-Yang zeros (LYZ). We first study the LYZ in the three-dimensional Ising model on finite lattices. We show that the ratios of multiple LYZ…

High Energy Physics - Lattice · Physics 2025-02-03 Tatsuya Wada , Masakiyo Kitazawa , Kazuyuki Kanaya

We prove the analyticity of the finite volume QCD partition function for complex values of the theta-vacuum parameter. The absence of singularities different from Lee-Yang zeros only permits ^ cusp singularities in the vacuum energy density…

High Energy Physics - Theory · Physics 2009-12-31 M. Aguado , M. Asorey

One of the distinctive feature of the QCD phase diagram is the possible emergence of a critical endpoint. The critical region around the critical point and the path dependency of the critical exponents is investigated within effective…

High Energy Physics - Phenomenology · Physics 2012-02-16 Bernd-Jochen Schaefer , Mathias Wagner

We analyze the phase diagram of N=4 supersymmetric Yang-Mills theory with fundamental matter in the presence of a background magnetic field and nonzero baryon number. We identify an isolated quantum critical point separating two differently…

High Energy Physics - Theory · Physics 2015-05-18 Kristan Jensen , Andreas Karch , Ethan G. Thompson

We investigate the location of the critical and tricritical points of the three-dimensional Blume-Capel model by analyzing the behavior of the first Lee-Yang zero, the density of partition function zeros, and higher-order cumulants of the…

Statistical Mechanics · Physics 2024-12-30 Leïla Moueddene , Nikolaos G. Fytas , Bertrand Berche

The critical properties of an infinitely long Ising strip with finite width L joined periodically or antiperiodically are investigated by analyzing the distribution of partition function zeros. For periodic boundary condition, the the…

Statistical Mechanics · Physics 2007-05-23 Ming-Chang Huang , Tsong-Ming Liaw , Yu-Pin Luo , Simon C. Lin

We investigate the phase diagram and the mechanism for the sign problem to appear in finite density QCD at strong coupling in a combined framework of the auxiliary field Monte-Carlo (AFMC) and the chiral angle fixing (CAF) methods. When…

High Energy Physics - Lattice · Physics 2013-11-22 Terukazu Ichihara , Takashi Z. Nakano , Akira Ohnishi

We investigate the QCD phase diagram for small values of baryon and strange quark chemical potentials from simulations at non-zero isospin chemical potential. Simulations at pure isospin chemical potential are not hindered by the sign…

High Energy Physics - Lattice · Physics 2019-11-28 Bastian B. Brandt , Francesca Cuteri , Gergely Endrodi , Sebastian Schmalzbauer

We study the phase structure of lattice QCD with heavy quarks at finite temperature and density by a histogram method. We determine the location of the critical point at which the first-order deconfining transition in the heavy-quark limit…

High Energy Physics - Lattice · Physics 2015-06-17 H. Saito , S. Ejiri , S. Aoki , K. Kanaya , Y. Nakagawa , H. Ohno , K. Okuno , T. Umeda

We study Yang-Lee zeros in the thermodynamic limit of the 2D nearest-neighbor antiferromagnetic Ising model on square and triangular lattices. We employ the Numerical Linked Cluster Expansion (NLCE) equipped with Exact Enumeration (EE) of…

Statistical Mechanics · Physics 2025-09-11 Mahmoud Abdelshafy , Muhammad Sedik

The chiral crossover of QCD at finite temperature and vanishing baryon density turns into a second order phase transition if lighter than physical quark masses are considered. If this transition occurs sufficiently close to the physical…

This paper is devoted to an in-depth study of the limiting measure of Lee--Yang zeroes for the Ising Model on the Cayley Tree. We build on previous works of M\"uller-Hartmann-Zittartz (1974 and 1977), Barata--Marchetti (1997), and…

Mathematical Physics · Physics 2019-03-27 Ivan Chio , Caleb He , Anthony L. Ji , Roland K. W. Roeder

We summarise recent progress in simulating QCD at nonzero baryon density using complex Langevin dynamics. After a brief outline of the main idea, we discuss gauge cooling as a means to control the evolution. Subsequently we present a status…

High Energy Physics - Lattice · Physics 2014-12-03 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

We propose to use the theory of phase transitions of Lee and Yang as a practical tool to analyze long-range correlations in a finite-size system. We apply it to the analysis of anisotropic flow in nucleus-nucleus collisions, and show that…

Nuclear Theory · Physics 2015-06-26 R. S. Bhalerao , N. Borghini , J. -Y. Ollitrault

We report updated results on the determination of Lee-Yang edge (LYE) singularities in $N_f = 2+1$ QCD using highly improved staggered quarks (HISQ) with physical masses on $N_\tau = 4, 6, 8$ lattices. The singularity structure of QCD in…

Sign problem in fermion quantum Monte Carlo (QMC) simulation appears to be an extremely hard problem. Traditional lore passing around for years tells people that when there is a sign problem, the average sign in QMC simulation approaches…

Strongly Correlated Electrons · Physics 2022-07-20 Xu Zhang , Gaopei Pan , Xiao Yan Xu , Zi Yang Meng

Peripheral heavy-ion collisions are expected to exhibit magnetic fields with magnitudes comparable to the QCD scale, as well as non-zero baryon densities. Whereas QCD at finite magnetic fields can be simulated directly with standard lattice…

High Energy Physics - Lattice · Physics 2024-01-05 S. Borsányi , B. B. Brandt , G. Endrődi , J. Guenther , R. Kara , A. D. M. Valois

In this paper we test the complex Langevin algorithm for numerical simulations of a random matrix model of QCD with a first order phase transition to a phase of finite baryon density. We observe that a naive implementation of the algorithm…

High Energy Physics - Lattice · Physics 2018-04-04 J. Bloch , J. Glesaaen , J. J. M. Verbaarschot , S. Zafeiropoulos