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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

We study the Roberge-Weiss phase transition numerically. The phase transition is associated with the discontinuities in the quark-number density at specific values of imaginary quark chemical potential. We parameterize the quark number…

High Energy Physics - Lattice · Physics 2023-01-25 V. G. Bornyakov , N. V. Gerasimeniuk , V. A. Goy , A. A. Korneev , A. V. Molochkov , A. Nakamura , R. N. Rogalyov

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

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

We have performed high-statistics lattice simulations using 4HEX improved staggered fermions on $16^3 \times 8$ lattices. We calculated the Taylor expansion coefficients of the pressure with respect to the baryochemical potential to the…

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

We study the Lee-Yang zeros in the canonical approach to search phase transition points at finite temperature and density in the Nambu-Jona-Lasinio (NJL) model as an effective model of QCD. The canonical approach is a promising method to…

High Energy Physics - Lattice · Physics 2019-07-10 Masayuki Wakayama , Atsushi Hosaka

At finite baryon density lattice QCD first-principle calculations can not be performed due to the sign problem. In order to circumvent this problem, we use the canonical approach, which provides reliable analytical continuation from the…

High Energy Physics - Lattice · Physics 2017-04-05 V. G. Bornyakov , D. L. Boyda , V. A. Goy , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov

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 investigate Yang-Lee zeros of grand partition functions as truncated fugacity polynomials of which coefficients are given by the canonical partition functions $Z(T,V,N)$ up to $N \leq N_{\text{max}}$. Such a partition function can be…

High Energy Physics - Phenomenology · Physics 2016-01-20 Kenji Morita , Atsushi Nakamura

Using GPGPU techniques and multi-precision calculation we developed the code to study QCD phase transition line in the canonical approach. The canonical approach is a powerful tool to investigate sign problem in Lattice QCD. The central…

High Energy Physics - Lattice · Physics 2018-04-18 V. G. Bornyakov , D. Boyda , V. Goy , A. Molochkov , A. Nakamura , A. Nikolaev , V. I. Zakharov

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 the thermodynamic singularities of QCD in the complex chemical potential plane by a numerical simulation of lattice QCD, and discuss a method to understand the nature of the QCD phase transition at finite density from the…

High Energy Physics - Lattice · Physics 2010-02-19 Shinji Ejiri , Hiroshi Yoneyama

We study the nature of the phase transition of lattice gauge theories at high temperature and high density by focusing on the probability distribution function, which represents the probability that a certain density will be realized in a…

High Energy Physics - Lattice · Physics 2023-01-04 Shinji Ejiri

QCD at non-zero baryon density is expected to have a critical point where the zero-density cross-over turns into a first order phase transition. To identify this point we scan the density-temperature space using a canonical ensemble method.…

High Energy Physics - Lattice · Physics 2009-04-14 Anyi Li , Xiangfei Meng , Andrei Alexandru , Keh-Fei Liu

Partition function zeros steer the critical behavior of a system. Studying four-flavor lattice QCD at finite temperature and density with the Wilson-clover fermion action and the Iwasaki gauge action using a phase-quenched fermion…

High Energy Physics - Lattice · Physics 2013-11-18 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

Phase transitions are typically accompanied by non-analytic behaviors of the free energy, which can be explained by considering the zeros of the partition function in the complex plane of the control parameter and their approach to the…

Statistical Mechanics · Physics 2020-07-06 Aydin Deger , Christian Flindt

Without invoking any cumulant determination at the input level, we present here the first calculations of direct estimates of the Lee-Yang zeros of QCD partition function in (2+1)-flavor QCD. These zeros are obtained in complex isospin…

High Energy Physics - Lattice · Physics 2025-07-21 Sabarnya Mitra

We propose and test a new approach to computation of canonical partition functions in lattice QCD at finite density. We suggest a few steps procedure. We first compute numerically the quark number density for imaginary chemical potential…

High Energy Physics - Lattice · Physics 2017-05-24 V. G. Bornyakov , D. L. Boyda , V. A. Goy , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov

We consider how the Lee-Yang description of phase transitions in terms of partition function zeros applies to nonequilibrium systems. Here one does not have a partition function, instead we consider the zeros of a steady-state normalization…

Statistical Mechanics · Physics 2009-11-07 R. A. Blythe , M. R. Evans
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