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Related papers: Canonical partition function and finite density ph…

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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 propose a method to find the QCD critical point at finite density calculating the canonical partition function ${\cal Z}_{\rm C} (T,N)$ by Monte-Carlo simulations of lattice QCD, and analyze data obtained by a simulation with two-flavor…

High Energy Physics - Lattice · Physics 2009-11-18 Shinji Ejiri

We propose a method to probe the nature of phase transitions in lattice QCD at finite temperature and density, which is based on the investigation of an effective potential as a function of the average plaquette. We analyze data obtained in…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri

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 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 propose a method to probe the nature of phase transitions in lattice QCD at finite temperature and density, which is based on the investigation of an effective potential as a function of the average plaquette. We analyze data obtained in…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri

New approach to computation of canonical partition functions in $N_f=2$ lattice QCD is presented. We compare results obtained by new method with results obtained by known method of hopping parameter expansion. We observe agreement between…

High Energy Physics - Lattice · Physics 2017-04-26 V. G. Bornyakov , D. L. Boyda , V. A. Goy , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov

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

After a brief introduction into basic aspects of the formulation of lattice regularized QCD at finite temperature and density we discuss our current understanding of the QCD phase diagram at finite temperature. We present results from…

High Energy Physics - Lattice · Physics 2007-05-23 Frithjof Karsch

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

At sufficiently low temperature, without requiring any numerical data at finite real chemical potential, we can clarify the canonical partition function with fixed quark number via the imaginary chemical potential region with few ansatzs.…

High Energy Physics - Phenomenology · Physics 2022-03-21 Kouji Kashiwa , Hiroaki Kouno

We study the phase structure of QCD at finite temperature and density by numerical simulations on a lattice. The most important point for the numerical study at finite density is treatment of the sign problem. We propose a method to avoid…

High Energy Physics - Lattice · Physics 2011-03-10 Shinji Ejiri

QCD at finite temperature and density is becoming increasingly important for various experimental programmes, ranging from heavy ion physics to astro-particle physics. The non-perturbative nature of non-abelian quantum field theories at…

High Energy Physics - Lattice · Physics 2009-11-02 Owe Philipsen

At sufficiently high temperature and density, quantum chromodynamics (QCD) is expected to undergo a phase transition from the confined phase to the quark-gluon plasma phase. In the Lagrangian lattice formulation the Monte Carlo method works…

High Energy Physics - Lattice · Physics 2009-10-31 E. B. Gregory , S. Guo , H. Kroger , Xiang-Qian Luo

The finite temperature QCD transition for physical quark masses is a crossover. For smaller quark masses a first-order phase transition is expected. Using Symanzik improved gauge and stout improved fermion action for 2+1 flavour staggered…

High Energy Physics - Lattice · Physics 2008-11-26 G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

At sufficiently high temperature and density, quantum chromodynamics (QCD) predicts phase transition from the hadronic phase to the quark-gluon plasma phase. Lattice QCD is the most useful tool to investigate this critical phenomenon, which…

High Energy Physics - Phenomenology · Physics 2017-08-23 Xiang-Qian Luo , Eric B. Gregory , Shuo-Hong Guo , Helmut Kroger

Quantum Chromodynamics (QCD) at finite density is most often formulated on the lattice as a grand canonical ensemble. Since lattice QCD has a complex action problem at finite baryo-chemical potential ($\mu_B$), its results at finite density…

The status of lattice QCD investigations at high temperature is reviewed. After a short introduction into thermal QCD on the lattice we report on the present understanding of the phase diagram and the equation of state, in particular in…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Laermann , O. Philipsen

We study the phase structure of QCD at finite temperatures with two flavors of dynamical quarks on a lattice with the size $N_s^3 \times N_t=16^3 \times 4$, using a renormalization group improved gauge action and a clover improved Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 N. Ukita , S. Ejiri , T. Hatsuda , N. Ishii , Y. Maezawa , S. Aoki , K. Kanaya

The study of QCD phase diagram is very interesting, but we have never understood it well. This is because we face a problem at finite density in QCD. The problem is called sign problem. It causes a decrease of the calculation accuracy. This…

High Energy Physics - Lattice · Physics 2018-02-15 Shotaro Oka
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