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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

An exact solution of one-dimensional lattice gauge theory at finite temperature and non-zero chemical potential is reviewed for the gauge groups $G=Z(N),U(N),SU(N)$ for all values of $N$ and the number of fermion flavors $N_f$. Calculated…

High Energy Physics - Lattice · Physics 2024-10-08 O. Borisenko , V. Chelnokov , S. Voloshyn , P. Yefanov

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

We carry out a finite density calculation based on a canonical approach which is designed to address the overlap problem. Two degenerate flavor simulations are performed using Wilson gauge action and Wilson fermions on $4^4$ lattices, at…

High Energy Physics - Lattice · Physics 2016-08-16 Andrei Alexandru , Manfried Faber , Ivan Horváth , Keh-Fei Liu

We propose a new framework for investigating two-flavor lattice QCD with finite temperature and density by applying the Karsten-Wilczek lattice fermion, in which a species-dependent imaginary chemical potential can reduce the number of…

High Energy Physics - Lattice · Physics 2012-12-21 Taro Kimura , Tatsuhiro Misumi , Akira Ohnishi

Quantum chromodynamics (QCD) at sufficiently high density is expected to undergo a chiral phase transition. Understanding such a transition is of particular importance for neutron star or quark star physics. In Lagrangian SU(3) lattice…

High Energy Physics - Lattice · Physics 2009-11-07 Yi-Zhong Fang , Xiang-Qian Luo

We present a reduction method for Wilson Dirac fermions with non-zero chemical potential which generates a dimensionally reduced fermion matrix. The size of the reduced fermion matrix is independent of the temporal lattice extent and the…

High Energy Physics - Lattice · Physics 2011-02-18 Andrei Alexandru , Urs Wenger

We investigate the phase structure of 3-flavor QCD in the presence of finite quark chemical potential $a\mu=0.1$ by using the Wilson-Clover fermion action. Especially, we focus on locating the critical end point that characterizes the phase…

High Energy Physics - Lattice · Physics 2014-11-06 Shinji Takeda , Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Akira Ukawa

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

Recent results of lattice QCD at finite temperature and density are reviewed. At vanishing density the transition temperature, the equation of state and hadron properties are discussed both for the pure gauge theory and for dynamical…

High Energy Physics - Lattice · Physics 2009-11-10 S. D. Katz

Using two-color lattice QCD with Wilson fermions, we report a study of the finite baryon number density system with two-flavors. First we investigate the Polyakov line and thermodynamical uantities in the $(\kappa,\mu)$ plane, where…

High Energy Physics - Lattice · Physics 2016-09-01 Shin Muroya , Atsushi Nakamura , Chiho Nonaka

The phase structure of lattice QCD with two flavors and Wilson fermions is studied analytically. At $\beta=0$ we obtain rigorous lower and upper bounds for the critical hopping parameter $k_c(0)$ from a convergent hopping parameter…

High Energy Physics - Lattice · Physics 2009-09-25 A. Galli

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

The analytic structure of the partition function in finite-volume systems is investigated at complex chemical potentials in a minimal mean-field effective model of QCD with finite-size effects incorporated. We discuss the temperature…

High Energy Physics - Phenomenology · Physics 2026-05-20 Tatsuya Wada , Győző Kovács , Masakiyo Kitazawa , Takahiro M. Doi

We present first results of a study of two flavour QCD with Wilson fermions at finite temperature. We have used tree level Symanzik improvement in both the gauge and fermion part of the action. In a first step we explore the phase diagramm…

High Energy Physics - Lattice · Physics 2009-10-30 F. Karsch , E. Laermann , M. Oevers , P. Schmidt

We study the equation of state at finite temperature and density in two-flavor QCD with the RG-improved gluon action and the clover-improved Wilson quark action on a $ 16^3 \times 4$ lattice. Along the lines of constant physics at $m_{\rm…

High Energy Physics - Lattice · Physics 2014-11-20 S. Ejiri , Y. Maezawa , N. Ukita , S. Aoki , T. Hatsuda , N. Ishii , K. Kanaya , T. Umeda

We discuss a numerical analysis employing the density of partition function zeroes which permits effective distinction between phase transitions of first and second order, elucidates crossover between such phase transitions and gives a new…

Statistical Mechanics · Physics 2007-05-23 Wolfhard Janke , Ralph Kenna

The Fukui-Todo algorithm is an important element of the array of simulational approaches to tackling critical phenomena in statistical physics. The partition-function-zero approach is of fundamental importance to understanding such…

Statistical Mechanics · Physics 2021-09-10 Petro Sarkanych , Yurij Holovatch , Ralph Kenna , Taras Yavors'kii

First principle study of QCD at finite temperature $T$ and chemical potential $\mu$ is essential for understanding a wide range of phenomena from heavy-ion collisions to cosmology and neutron stars. However, in the presence of finite…

High Energy Physics - Lattice · Physics 2009-11-10 Xiang-Qian Luo

We study the critical point for finite temperature Nf=3 QCD using several temporal lattice sizes up to 10. In the study, the Iwasaki gauge action and non-perturbatively O(a) improved Wilson fermions are employed. We estimate the critical…

High Energy Physics - Lattice · Physics 2017-10-24 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa