Quark number holonomy and confinement-deconfinement transition

Kashiwa, Kouji; Ohnishi, Akira

doi:10.1103/physrevd.93.116002

Cited by 24 publications

(19 citation statements)

References 57 publications

(75 reference statements)

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“…Analogy of the topological order in QCD has been applied to finite temperature in Refs. [9,10,11] by considering the non-trivial free-energy degeneracy at finite imaginary chemical potential. Therefore, it is natural to expect that the topology can bring us to deeper understanding of the confinement-deconfinement na-ture.…”

Section: Introductionmentioning

confidence: 99%

Persistent homology analysis of deconfinement transition in effective Polyakov-line model

Hirakida

Kashiwa

Sugano

et al. 2020

Int. J. Mod. Phys. A

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The persistent homology analysis is applied to the effective Polyakov-line model on a rectangular lattice to investigate the confinement-deconfinement nature.The lattice data are mapped onto the complex Polyakov-line plane without taking the spatial average and then the plane is divided into three domains. This study is based on previous studies for the clusters and the percolation properties in lattice QCD, but the mathematical method of the analyses are different. The spatial distribution of the data in the individual domain is analyzed by using the persistent homology to obtain information of the multiscale structure of center clusters. In the confined phase, the data in the three domains show the same topological tendency characterized by the birth and death times of the holes which are estimated via the filtration of the alpha complexes in the data space, but do not in the deconfined phase. By considering the configuration averaged ratio of the birth and death times of holes, we can construct the nonlocal order-parameter of the confinement-deconfinement transition from the multiscale topological properties of center clusters.

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Section: Introductionmentioning

confidence: 99%

Persistent homology analysis of deconfinement transition in effective Polyakov-line model

Hirakida

Kashiwa

Sugano

et al. 2020

Int. J. Mod. Phys. A

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“…The PNJL model can describe the chiral symmetry breaking/restoration and the approximate confinement-deconfinement transition. Also, it can well reproduce QCD properties at finite imaginary chemical potential which is a big advantage from the viewpoint of the topologically determined confinement-deconfinement transition [30][31][32]. The following formulation and the computation of the Monte-Carlo PNJL model is based on Ref.…”

Section: Formulationmentioning

confidence: 99%

Controlling the model sign problem via the path optimization method: Monte Carlo approach to a QCD effective model with Polyakov loop

2019

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We apply the path optimization method to a QCD effective model with the Polyakov loop at finite density to circumvent the model sign problem. The Polyakov-loop extended Nambu-Jona-Lasinio model is employed as the typical QCD effective model and then the hybrid Monte-Carlo method is used to perform the path integration. To control the sign problem, the path optimization method is used with complexification of temporal gluon fields to modify the integral path in the complex space. We show that the average phase factor is well improved on the modified integral-path compared with that on the original one. This indicates that the complexification of temporal gluon fields may be enough to control the sign problem of QCD in the path optimization method.

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“…[7], we proposed the new classification of the confined and deconfined phases at finite T based on the RW periodicity. The different realization of the RW periodicity would propose the classification via the difference of the degeneracy of the free-energy.…”

Section: Deconfinement Transition From Rw Periodicitymentioning

confidence: 99%

Topological Nature of Deconfinement Transition in QCD

Kashiwa

2018

Proceedings of the Workshop on Quarks and Compact Stars 2017 (QCS2017)

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We propose a new conjecture to determine the confinement-deconfinement transition by using the imaginary chemical potential. The imaginary chemical potential can be treated as the AharonovBohm phase and then an analogy of the topological order suggests that the Roberge-Weiss endpoint would define the temperature of the confinement-deconfinement transition. Based on the topological nature, we can construct a new quantum order-parameter which describes the confinementdeconfinement transition. This quantity is defined as the integral of the quark number susceptibility along the closed loop of θ = 0 ∼ 2π where θ is the dimensionless imaginary chemical potential. Expected behavior of the quantity at finite temperature is discussed and its asymptotic behaviors are drawn.

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Quark number holonomy and confinement-deconfinement transition

Cited by 24 publications

References 57 publications

Persistent homology analysis of deconfinement transition in effective Polyakov-line model

Persistent homology analysis of deconfinement transition in effective Polyakov-line model

Controlling the model sign problem via the path optimization method: Monte Carlo approach to a QCD effective model with Polyakov loop

Topological Nature of Deconfinement Transition in QCD

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