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Related papers: Roberge-Weiss periodicity, canonical sector and mo…

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This paper discusses a paradox encountered when employing the canonical approach, particularly in the high-temperature region where the Roberge-Weiss transition exists at finite imaginary chemical potential. The paradox is that the results…

High Energy Physics - Phenomenology · Physics 2026-05-20 Kouji Kashiwa , Hiroaki Kouno

At finite imaginary values of the chemical potential, QCD is free of the sign problem. Moreover, at high temperatures the partition function exhibits a new symmetry (the Roberge-Weiss symmetry) connecting phases with different orientations…

High Energy Physics - Lattice · Physics 2021-11-03 Amine Chabane , Gergely Endrödi

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

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 dual observables as order parameters for center symmetry are tested at finite isospin chemical potential $\mu_I$ in a Polyakov-loop enhanced chiral model of QCD with physical quark masses. As a counterpart of the dressed Polyakov-loop,…

High Energy Physics - Phenomenology · Physics 2016-02-17 Zhao Zhang , Qing Miao

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 compare the grand canonical partition function at fixed chemical potential mu with the canonical partition function at fixed baryon number B, formally and by numerical simulations at mu=0 and B=0 with four flavours of staggered quarks.…

High Energy Physics - Lattice · Physics 2009-11-11 S. Kratochvila , Ph. de Forcrand

In this talk we extend the Polyakov-quark-meson model to N_f=2+1 quark flavors and study its bulk thermodynamics at finite temperatures in mean-field approximation. Three different Polyakov-loop potentials are considered. Our findings are…

High Energy Physics - Phenomenology · Physics 2014-11-20 Bernd-Jochen Schaefer , Mathias Wagner , Jochen Wambach

We construct a new order parameter for finite temperature QCD by considering the quark condensate for U(1)-valued temporal boundary conditions for the fermions. Fourier transformation with respect to the boundary condition defines the dual…

High Energy Physics - Lattice · Physics 2008-11-26 Erek Bilgici , Falk Bruckmann , Christof Gattringer , Christian Hagen

We review theoretical aspects of quantum chromodynamics (QCD) at finite temperature. The most important physical variable to characterize hot QCD is the Polyakov loop, which is an approximate order parameter for quark deconfinement in a hot…

High Energy Physics - Phenomenology · Physics 2017-09-13 Kenji Fukushima , Vladimir Skokov

We study properties of 2+1-flavor QCD in the imaginary chemical potential region by using two approaches. One is a theoretical approach based on QCD partition function, and the other is a qualitative one based on the Polyakov-loop extended…

High Energy Physics - Phenomenology · Physics 2017-08-02 Junpei Sugano , Hiroaki Kouno , Masanobu Yahiro

The pseudo-critical temperature of the confinement-deconfinement transition and the phase transition surface are investigated by using the complex chemical potential. We can interpret the imaginary chemical potential as the Aharonov-Bohm…

High Energy Physics - Phenomenology · Physics 2015-10-07 Kouji Kashiwa , Akira Ohnishi

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

We put forward a Polyakov-loop extended quark meson model, where matter as well as glue fluctuations are taken into account, cf. [1]. The latter are included via a Polyakov-loop potential. Usually such a glue potential is based on…

High Energy Physics - Phenomenology · Physics 2014-01-09 Tina K. Herbst , Mario Mitter , Jan M. Pawlowski , Bernd-Jochen Schaefer , Rainer Stiele

The Polyakov loop and the chiral condensate are used as order parameters to explore analytically the possible phase structure of finite temperature QCD. Nambu-Jona-Lasinio models in a background temporal gauge field are combined with a…

High Energy Physics - Lattice · Physics 2009-10-28 Peter N. Meisinger , Michael C. Ogilvie

We investigate the effective potential of the Polyakov loop, which is the order parameter for the deconfinement phase transition in finite temperature QCD. Our work is based on the Hamiltonian approach in Coulomb gauge where finite…

High Energy Physics - Phenomenology · Physics 2022-12-14 Markus Quandt , Hugo Reinhardt

We study genuine finite density effects in QCD-like theories with three-dimensional Polyakov-loop effective theories for heavy quarks. These are derived from the full QCD-like theories by combined strong-coupling and hopping expansions. In…

High Energy Physics - Lattice · Physics 2016-02-16 Philipp Scior , Lorenz von Smekal

Imaginary chemical potentials serve as a useful tool to constrain the QCD phase diagram and to gain insight into the thermodynamics of strongly interacting matter. In this study, we report on the first determination of the phase diagram for…

High Energy Physics - Lattice · Physics 2022-07-22 Bastian B. Brandt , Amine Chabane , Volodymyr Chelnokov , Francesca Cuteri , Gergely Endrődi , Christopher Winterowd

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 analyze the expectation value of the Polyakov loop in the fundamental and higher representations in the confined phase of QCD. We discuss a hadronic like representation, and find that the Polyakov loop corresponds to a partition function…

High Energy Physics - Phenomenology · Physics 2014-04-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo
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