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Related papers: Lee-Yang zeros in heavy-quark QCD

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We have characterized numerically, using the Janus computer, the Lee-Yang complex singularities related to the overlap in the 3D Ising spin glass with binary couplings in a wide range of temperatures (both in the critical and in the…

Disordered Systems and Neural Networks · Physics 2013-02-20 R. A. Baños , J. M. Gil-Narvion , J. Monforte-Garcia , J. J. Ruiz-Lorenzo , D. Yllanes

The study of systems as diverse as the cores of neutron stars and heavy-ion collision experiments requires the understanding of the phase structure of QCD at non-zero temperature, T, and chemical potential, mu_q. We review some of the…

High Energy Physics - Lattice · Physics 2009-11-11 C. R. Allton , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , Ch. Schmidt

In this paper we study finite-size effects in the Blume-Capel model through the analysis of the zeros of the partition function. We consider a complete graph and make use of the behaviour of the partition function zeros to elucidate the…

Statistical Mechanics · Physics 2025-01-09 Yulian Honchar , Mariana Krasnytska , Bertrand Berche , Yurij Holovatch , Ralph Kenna

The critical sector of strong interactions at high temperatures is explored in the frame of two complementary paradigms: Statistical Bootstrap for the hadronic phase and Lattice QCD for the Quark-Gluon partition function. A region of…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Antoniou , F. K. Diakonos , A. S. Kapoyannis

QCD critical point is a landmark region in the QCD phase diagram outlined by temperature as a function of baryon chemical potential. To the right of this second-order phase transition point, one expects first order quark-hadron phase…

Nuclear Experiment · Physics 2022-05-25 A. Pandav , D. Mallick , B. Mohanty

Quantum phase transitions are a ubiquitous many-body phenomenon that occurs in a wide range of physical systems, including superconductors, quantum spin liquids, and topological materials. However, investigations of quantum critical systems…

Strongly Correlated Electrons · Physics 2021-09-06 Timo Kist , Jose L. Lado , Christian Flindt

Based on universal arguments it is believed that there is a critical point (E) in QCD on the temperature (T) versus chemical potential (\mu) plane, which is of extreme importance for heavy-ion experiments. Using finite size scaling and a…

High Energy Physics - Lattice · Physics 2009-11-07 Z. Fodor , S. D. Katz

A new method to extract the density of partition function zeroes (a continuous function) from their distribution for finite lattices (a discrete data set) is presented. This allows direct determination of the order and strength of phase…

Statistical Mechanics · Physics 2009-11-07 Wolfhard Janke , Ralph Kenna

We report the latest results on the search for the QCD critical point in the QCD phase diagram through high energy heavy-ion collisions. The measurements discussed are based on the higher moments of the net-proton multiplicity distributions…

Nuclear Experiment · Physics 2021-01-25 Bedangadas Mohanty , Nu Xu

The phase diagram of the two- and three-state Potts model with infinite-range interactions, in the external field is analyzed by studying the partition function zeros in the complex field plane. The tricritical point of the three-state…

Statistical Mechanics · Physics 2013-03-01 Zvonko Glumac , Katarina Uzelac

The zeros of the partition function of the ferromagnetic q-state Potts model with long-range interactions in the complex-q plane are studied in the mean-field case, while preliminary numerical results are reported for the finite 1d chains…

Statistical Mechanics · Physics 2009-11-07 Zvonko Glumac , Katarina Uzelac

We present a calculation of the net baryon number density as a function of imaginary baryon number chemical potential, obtained with highly improved staggered quarks (HISQ) at temporal lattice extent of $N_\tau=4,6$. We construct various…

High Energy Physics - Lattice · Physics 2022-03-08 P. Dimopoulos , L. Dini , F. Di Renzo , J. Goswami , G. Nicotra , C. Schmidt , S. Singh , K. Zambello , F. Ziesché

We analyze the partition function of the Ising model on graphs of two different types: complete graphs, wherein all nodes are mutually linked and annealed scale-free networks for which the degree distribution decays as $P(k)\sim…

Statistical Mechanics · Physics 2016-03-23 M. Krasnytska , B. Berche , Yu. Holovatch , R. Kenna

We investigate the QCD phase diagram and the associated Lee--Yang edge singularities using the two-flavor nonlocal Nambu--Jona-Lasinio model extended to complex chemical potential. There exists a strong correlation between the chiral phase…

High Energy Physics - Phenomenology · Physics 2025-09-04 Zong-shuai Zhang , Yi Lu , Yu-xin Liu

The critical sector of strong interactions at high temperatures is explored in the frame of two complementary approaches: Statistical Bootstrap for the hadronic phase and Lattice QCD for the Quark-Gluon partition function. A region of…

High Energy Physics - Phenomenology · Physics 2010-04-05 N. G. Antoniou , F. K. Diakonos , A. S. Kapoyannis

The study of zeros of partition functions, initiated by Yang and Lee, provides an important qualitative and quantitative tool in the study of critical phenomena. This has frequently been used for periodic as well as hierarchical lattices.…

Condensed Matter · Physics 2015-06-25 M. Baake , U. Grimm , C. Pisani

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

The densities of Yang-Lee zeros for the Ising ferromagnet on the $L\times L$ square lattice are evaluated from the exact grand partition functions ($L=3\sim16$). The properties of the density of Yang-Lee zeros are discussed as a function of…

Statistical Mechanics · Physics 2009-11-11 Seung-Yeon Kim

To simulate indistinguishable particles, recent studies of path-integral molecular dynamics formulated their partition function $Z$ as a recurrence relation involving a variable $\xi$, with $\xi=1$(-1) for bosons (fermions). Inspired by…

Statistical Mechanics · Physics 2026-02-27 Ran-Chen He , Jia-Xi Zeng , Shu Yang , Cong Wang , Qi-Jun Ye , Xin-Zheng Li

Lee-Yang zero theory plays a crucial role in phase transition theory and is widely employed in the critical behavior of statistical thermodynamics. The supercritical regime of black hole thermodynamics remains a relatively unexplored area,…

High Energy Physics - Theory · Physics 2025-11-14 Zhi-Yuan Li , Xuan-Rui Chen , Bin Wu , Zhen-Ming Xu
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