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Matter described by Quantum Chromodynamics (QCD), the theory of strong interactions, may undergo phase transitions when its temperature and the chemical potentials are varied. QCD at finite temperature is studied in the laboratory by…

High Energy Physics - Phenomenology · Physics 2011-06-24 Sourendu Gupta , Xiaofeng Luo , Bedangadas Mohanty , Hans Georg Ritter , Nu Xu

We introduce a new way of reconstructing the equation of state of a thermodynamic system near a second order critical point from a finite set of Taylor coefficients computed away from the critical point. We focus on the Ising universality…

High Energy Physics - Theory · Physics 2021-11-03 Gokce Basar

We address the critical and universal aspects of counterion-condensation transition at a single charged cylinder in both two and three spatial dimensions using numerical and analytical methods. By introducing a novel Monte-Carlo sampling…

Soft Condensed Matter · Physics 2007-05-23 Ali Naji , Roland R. Netz

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

We revisit the phase diagram of the N=4 SU(N_c) super-Yang-Mills theory coupled to N_f fundamental "quarks" at strong coupling using the gauge-gravity correspondence. We show that in the plane of temperature v.s. baryon chemical potential…

High Energy Physics - Theory · Physics 2008-12-23 Thomas Faulkner , Hong Liu

The strong coupling limit of lattice QCD with staggered fermions has been studied for decades, both via Monte Carlo and via mean field theory. In this model, the finite density sign problem can be made mild and the full phase diagram can be…

High Energy Physics - Lattice · Physics 2014-01-24 Philippe de Forcrand , Jens Langelage , Owe Philipsen , Wolfgang Unger

QCD at finite density presents specific challenges to lattice gauge theory. Nonetheless, a region of the QCD phase diagram up to moderately large baryon chemical potentials has been successfully explored on the lattice and new results and…

High Energy Physics - Lattice · Physics 2008-11-26 M. -P. Lombardo

Dynamical quantum phase transitions reveal singularities in quench dynamics, characterized by the emergence of Loschmidt echo zeros at critical times, which usually exist only in the thermodynamic limit but are absent in finite-size quantum…

Quantum Physics · Physics 2026-01-07 Zhen-Yu Zheng , Xudong Liu , Siyan Lin , Yu Zhang , Shu Chen

We study the QCD phase structure at high temperature and density adopting a histogram method. Because the quark determinant is complex at finite density, the Monte-Carlo method cannot be applied directly. We use a reweighting method and try…

High Energy Physics - Lattice · Physics 2017-11-22 Shinji Ejiri , Sinya Aoki , Tetsuo Hatsuda , Kazuyuki Kanaya , Yoshiyuki Nakagawa , Hiroshi Ohno , Hana Saito , Takashi Umeda

The existence of the QCD critical point at non-zero baryon density is not only of great interest for experimental physics but also a challenge for the theory. We use lattice simulations based on the canonical ensemble method to explore the…

High Energy Physics - Lattice · Physics 2009-11-18 Anyi Li , Andrei Alexandru , Xiangfei Meng , Keh-Fei Liu

We apply the Yang-Lee theory of phase transitions to an urn model of separation of sand. The effective partition function of this nonequilibrium system can be expressed as a polynomial of the size-dependent effective fugacity $z$. Numerical…

Statistical Mechanics · Physics 2009-11-10 Ioana Bena , Francois Coppex , Michel Droz , Adam Lipowski

We discuss the phase structure and the equation of state for QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated for 2-flavor QCD, enabling…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri , Chris R. Allton , Simon J. Hands , Olaf Kaczmarek , Frithjof Karsch , Edwin Laermann , Christian Schmidt

SU(2) Yang-Mills Theory coupled to massive adjoint scalar matter is studied in (1+1) dimensions using Discretised Light-Cone Quantisation. This theory can be obtained from pure Yang-Mills in 2+1 dimensions via dimensional reduction. On the…

High Energy Physics - Theory · Physics 2009-10-28 Alex C. Kalloniatis

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 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

We analyze the trajectory of the Lee-Yang edge singularities of the QCD equation of state in the complex baryon chemical potential ($\mu_B$) plane for different values of the temperature by using the recent lattice results for the Taylor…

High Energy Physics - Theory · Physics 2024-07-08 Gokce Basar

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 quantum chromodynamics (QCD) phase diagram, which reveals the state of strongly interacting matter at different temperatures and densities, is key to answering open questions in physics, ranging from the behavior of particles in neutron…

We establish existence of order-disorder phase transitions for a class of "non-sliding" hard-core lattice particle systems on a lattice in two or more dimensions. All particles have the same shape and can be made to cover the lattice…

Mathematical Physics · Physics 2018-10-17 Ian Jauslin , Joel L. Lebowitz

All approaches currently used to study finite baryon density lattice QCD suffer from uncontrolled systematic uncertainties in addition to the well-known sign problem. We formulate and test an algorithm, sign reweighting, that works directly…

High Energy Physics - Lattice · Physics 2020-06-24 Matteo Giordano , Kornel Kapas , Sandor D. Katz , Daniel Nogradi , Attila Pasztor