4.5 Article

Persistent Homology Analysis for Dense QCD Effective Model with Heavy Quarks

Related references

Note: Only part of the references are listed.
Article Astronomy & Astrophysics

Multiplicity, probabilities, and canonical sectors for cold QCD matter

Kouji Kashiwa et al.

Summary: In this paper, we investigate the canonical partition function with a fixed quark number using the imaginary chemical potential region. We estimate the multiplicity entropy, the configuration entropy, and the pointwise information to understand the properties of the cold QCD matter at finite density. By considering the large-Nc limit, we can gain insights into the tendencies and their relation to the quarkyonic phase. Additionally, we discuss the nontrivial ground-state degeneracy from the viewpoint of the canonical sectors.

PHYSICAL REVIEW D (2022)

Article Physics, Fluids & Plasmas

Quantitative analysis of phase transitions in two-dimensional XY models using persistent homology

Nicholas Sale et al.

Summary: Using persistent homology and persistence images, this study examines phase transitions in three variants of the two-dimensional XY model. The methodology involves computing persistent homology of lattice spin model configurations and analyzing the fluctuations in logistic regression and k-nearest neighbor models trained on persistence images. Accurate estimates of critical temperature and critical exponent of correlation length are obtained, emphasizing finite-size scaling behavior and quantifiable error.

PHYSICAL REVIEW E (2022)

Article Multidisciplinary Sciences

Investigation of the Thermal QCD Matter from Canonical Sectors

Kouji Kashiwa

Summary: This paper discusses the thermal phase structure of QCD at zero real chemical potential from the perspective of canonical sectors. It proposes a convenient quantity to determine the structural changes of the canonical sectors and qualitatively discusses it using lattice QCD predictions. Numerical estimations are also conducted using a simple QCD effective model to show a sharp change in canonical sectors near the Roberge-Weiss endpoint temperature at mu(R)=0, highlighting the importance of quark number density behavior in clarifying thermal QCD properties.

SYMMETRY-BASEL (2021)

Article Materials Science, Multidisciplinary

Quantitative and interpretable order parameters for phase transitions from persistent homology

Alex Cole et al.

Summary: This research applies modern methods in computational topology to discover and characterize phase transitions, utilizing persistent homology to compute topological features and persistence images to distinguish phases. By employing logistic regression on these images, relevant features such as magnetization, frustration, and vortex-antivortex structure are identified as key factors in phase transitions. This method also defines persistence critical exponents and explores their relationship with traditionally considered critical exponents.

PHYSICAL REVIEW B (2021)

Article Astronomy & Astrophysics

Anatomy of the dense QCD matter from canonical sectors

Kouji Kashiwa et al.

Summary: By investigating nuclear and quark matters at finite real chemical potential and low temperature using the canonical sectors constructed via the imaginary chemical potential region, we are able to discuss the confinement/deconfinement nature and color superconductivity at finite mu(R) based on large N-c estimation. The sharp changes of canonical sectors at mu(R) similar to M-B/N-c in the large N-c regime are matched with the quarkyonic picture, providing a suitable picture for dense QCD matter.

PHYSICAL REVIEW D (2021)

Article Physics, Fluids & Plasmas

Topological persistence machine of phase transitions

Quoc Hoan Tran et al.

Summary: The study proposes a general framework, termed topological persistence machine, to construct the shape of data from correlations in states and subsequently decipher phase transitions via qualitative changes in the shape. This approach has been successful in analyzing phase transitions and exploring classical and quantum phase transitions, providing practical insights for exploring the phases of experimental physical systems.

PHYSICAL REVIEW E (2021)

Article Astronomy & Astrophysics

Information theoretical view of QCD effective model with heavy quarks

Kouji Kashiwa et al.

Summary: This paper investigates the information theoretical aspects of the three-dimensional three-state Potts model with external field, finding a peak in information flow near the confinement-deconfinement transition which can be used to detect precursors of the transition. The transfer mutual information still exhibits a peak even with continuous changes in the Polyakov-loop, suggesting the potential to identify aspects of the confinement-deconfinement nature from information flow properties. Additionally, significant differences in behavior below and above the Roberge-Weiss endpoint in the region of pure imaginary chemical potential indicate a system change through the confinement-deconfinement transition.

PHYSICAL REVIEW D (2021)

Article Physics, Nuclear

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

Takehiro Hirakida et al.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A (2020)

Article Physics, Multidisciplinary

Finding hidden order in spin models with persistent homology

Bart Olsthoorn et al.

PHYSICAL REVIEW RESEARCH (2020)

Article Astronomy & Astrophysics

Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors

Julian Lenz et al.

PHYSICAL REVIEW D (2020)

Article Physics, Particles & Fields

Topological data analysis for the string landscape

Alex Cole et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Multidisciplinary Sciences

Imaginary Chemical Potential, NJL-Type Model and Confinement-Deconfinement Transition

Kouji Kashiwa

SYMMETRY-BASEL (2019)

Article Physics, Multidisciplinary

Application of a neural network to the sign problem via the path optimization method

Yuto Mori et al.

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS (2018)

Article Astronomy & Astrophysics

Solution of the sign problem in the Potts model at fixed fermion number

Andrei Alexandru et al.

PHYSICAL REVIEW D (2018)

Article Astronomy & Astrophysics

Toward solving the sign problem with path optimization method

Yuto Mori et al.

PHYSICAL REVIEW D (2017)

Article Multidisciplinary Sciences

Hierarchical structures of amorphous solids characterized by persistent homology

Yasuaki Hiraoka et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2016)

Article Physics, Particles & Fields

Oscillating propagators in heavy-dense QCD

Oscar Akerlund et al.

JOURNAL OF HIGH ENERGY PHYSICS (2016)

Article Physics, Fluids & Plasmas

Persistent homology analysis of phase transitions

Irene Donato et al.

PHYSICAL REVIEW E (2016)

Article Astronomy & Astrophysics

Complex spectrum of finite-density lattice QCD with static quarks at strong coupling

Hiromichi Nishimura et al.

PHYSICAL REVIEW D (2016)

Article Nanoscience & Nanotechnology

Persistent homology and many-body atomic structure for medium-range order in the glass

Takenobu Nakamura et al.

NANOTECHNOLOGY (2015)

Article Astronomy & Astrophysics

Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral

Yuya Tanizaki et al.

PHYSICAL REVIEW D (2015)

Article Astronomy & Astrophysics

Complex saddle points and disorder lines in QCD at finite temperature and density

Hiromichi Nishimura et al.

PHYSICAL REVIEW D (2015)

Article Astronomy & Astrophysics

Fractality and other properties of center domains at finite temperature: SU(3) lattice gauge theory

Gergely Endrodi et al.

PHYSICAL REVIEW D (2014)

Article Astronomy & Astrophysics

Complex saddle points in QCD at finite temperature and density

Hiromichi Nishimura et al.

PHYSICAL REVIEW D (2014)

Article Physics, Particles & Fields

Hybrid Monte Carlo on Lefschetz thimbles - A study of the residual sign problem

H. Fujii et al.

JOURNAL OF HIGH ENERGY PHYSICS (2013)

Article Astronomy & Astrophysics

New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble

Marco Cristoforetti et al.

PHYSICAL REVIEW D (2012)

Article Physics, Particles & Fields

Universality of Phases in QCD and QCD-like Theories

Masanori Hanada et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Article Astronomy & Astrophysics

Finite density phase transition of QCD with Nf=4 and Nf=2 using canonical ensemble method

Anyi Li et al.

PHYSICAL REVIEW D (2010)

Article Astronomy & Astrophysics

Coherent center domains in SU(3) gluodynamics and their percolation at Tc

Christof Gattringer

PHYSICS LETTERS B (2010)

Article Astronomy & Astrophysics

QCD at zero baryon density and the Polyakov loop paradox

Slavo Kratochvila et al.

PHYSICAL REVIEW D (2006)

Article Physics, Particles & Fields

Finite density QCD with a canonical approach

P de Forcrand et al.

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS (2006)

Article Astronomy & Astrophysics

Lattice QCD at finite density via a new canonical approach -: art. no. 114513

A Alexandru et al.

PHYSICAL REVIEW D (2005)

Article Computer Science, Theory & Methods

Computing persistent homology

A Zomorodian et al.

DISCRETE & COMPUTATIONAL GEOMETRY (2005)

Article Astronomy & Astrophysics

Chiral effective model with the Polyakov loop

K Fukushima

PHYSICS LETTERS B (2004)

Article Physics, Particles & Fields

Solution of the complex action problem in the Potts model for dense QCD

M Alford et al.

NUCLEAR PHYSICS B (2001)