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Related papers: Numerical Study of the Roberge-Weiss Transition

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We report Lee-Yang zeros behavior at finite temperature and density. The quark number densities, <n>, are calculated at the pure imaginary chemical potential, where no sign problem occurs. Then, the canonical partition functions,…

High Energy Physics - Lattice · Physics 2019-04-24 M. Wakayama , V. G. Bornyakov , D. L. Boyda , V. A. Goy , H. Iida , A. V. Molochkov , A. Nakamura , V. I. Zakharov

Canonical partition functions and Lee-Yang zeros of QCD at finite density and high temperature are studied. Recent lattice simulations have confirmed that the free energy of QCD is a quartic function of quark chemical potential at…

High Energy Physics - Lattice · Physics 2015-05-27 Keitaro Nagata , Kouji Kashiwa , Atsushi Nakamura , Shinsuke M. Nishigaki

We discuss the nature of the phase transition for lattice QCD at finite temperature and density. We propose a method to calculate the canonical partition function by fixing the total quark number introducing approximations allowed in the…

High Energy Physics - Lattice · Physics 2009-01-14 Shinji Ejiri

At imaginary values of the quark chemical potential $\mu$, Quantum Chromodynamics shows an interesting phase structure due to an exact center, or Roberge-Weiss (RW), symmetry. This can be used to constrain QCD at real $\mu$, where the sign…

High Energy Physics - Lattice · Physics 2014-05-14 Owe Philipsen , Christopher Pinke

We explore the distribution of Lee-Yang zeros around the critical point that appears in the heavy-quark region of QCD at nonzero temperature in lattice numerical simulations. With the aid of the hopping-parameter expansion that is well…

High Energy Physics - Phenomenology · Physics 2025-03-31 Masakiyo Kitazawa , Tatsuya Wada , Kazuyuki Kanaya

The finite temperature chiral and deconfinement phase transitions at zero density for light and heavy quarks, respectively, have analytic continuations to imaginary chemical potential. At some critical imaginary chemical potential, they…

High Energy Physics - Lattice · Physics 2015-12-18 Francesca Cuteri , Christopher Czaban , Owe Philipsen , Christopher Pinke , Alessandro Sciarra

The canonical approach for finite density lattice QCD has a numerical instability. This instability makes it difficult to use the method reliably at the finite real chemical potential region. We studied this instability in detail and found…

High Energy Physics - Lattice · Physics 2015-11-18 Shotaro Oka , for Zn-Collaboration

We study the finite density phase transition in the lattice QCD at real chemical potential. We adopt canonical approach and the canonical partition function is constructed for Nf=2 QCD. After derivation of the canonical partition function…

High Energy Physics - Lattice · Physics 2016-03-23 Atsushi Nakamura , Shotaro Oka , Yusuke Taniguchi

We consider the problem of identifying the onset of the conformal window for QCD with $N_f$ massless flavors in the fundamental representation, and propose a new effective method to determine it from lattice simulations. This method is…

High Energy Physics - Lattice · Physics 2026-04-09 Massimo D'Elia , Marco Nacci , Kevin Zambello

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

The hot nucleus $^{162}\mathrm{Dy}$ is investigated using covariant density functional theory, where the shell-model-like approach treats the pairing correlation. Lee-Yang's theorem is applied to classify the pairing phase transition by…

Nuclear Theory · Physics 2023-03-17 Yuhang Gao , Yanlong Lin , Lang Liu

We investigate how a magnetic background field influences the location and the nature of the Roberge-Weiss (RW) finite temperature transition for $N_f = 2+1$ QCD with physical quark masses. To that purpose, we perform numerical simulations…

High Energy Physics - Lattice · Physics 2025-02-27 Massimo D'Elia , Lorenzo Maio , Kevin Zambello , Giuseppe Zanichelli

We investigate the nature of the deconfinement and Roberge-Weiss transition in the heavy quark regime for finite real and imaginary chemical potential within the functional approach to continuum QCD. We extract the critical phase boundary…

High Energy Physics - Phenomenology · Physics 2015-06-23 Christian S. Fischer , Jan Lücker , Jan M. Pawlowski

We comment on the Lee-Yang zero analysis for the study of the phase structure of QCD at high temperature and baryon number density by Monte-Carlo simulations. We find that the sign problem for non-zero density QCD induces a serious problem…

High Energy Physics - Lattice · Physics 2014-11-17 Shinji Ejiri

We study a phase transition in a non-equilibrium model first introduced in [5], using the Yang-Lee description of equilibrium phase transitions in terms of both canonical and grand canonical partition function zeros. The model consists of…

Statistical Mechanics · Physics 2007-05-23 Farhad H Jafarpour

We calculate Fourier coefficients of the net-baryon number as a function of a purely imaginary chemical potential. The asymptotic behavior of these coefficients is governed by the singularity structure of the QCD partition function and thus…

High Energy Physics - Lattice · Physics 2023-01-13 Christian Schmidt

We report on a new method to extract thermodynamic properties from the density of partition function zeroes on finite lattices. This allows direct determination of the order and strength of phase transitions numerically. Furthermore, it…

High Energy Physics - Lattice · Physics 2015-06-25 Wolfhard Janke , Ralph Kenna

The canonical partition functions $Z_n$ and the number distributions $P_n$ which are obervable in experiments, are related by a single parameter, the fugacities $\xi=\exp(\mu/T)$. With the charge parity invariance, $Z_n$ and $\xi$ can be…

High Energy Physics - Phenomenology · Physics 2018-01-16 Atsushi Nakamura , Keitaro Nagata

In this paper, we discuss the role of Roberge-Weiss periodicity in the thermodynamics of quantum chromodynamics at moderately high temperature, where the semi-quark-gluon plasma is expected. From the construction of the grand canonical…

High Energy Physics - Phenomenology · Physics 2025-07-15 Kouji Kashiwa , Hiroaki Kouno

The effect of an external electric field on the quark matter is an important question due to the presence of strong electric fields in heavy ion collisions. In the lattice QCD approach, the case of a real electric field suffers from the…

High Energy Physics - Lattice · Physics 2022-10-12 Ji-Chong Yang , Xiao-Ting Chang , Jian-Xing Chen
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