Multiplicity, probabilities, and canonical sectors for cold QCD matter

Kashiwa, Kouji; Kouno, Hiroaki

doi:10.1103/physrevd.105.054017

Cited by 2 publications

(1 citation statement)

References 58 publications

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“…There are some approaches to weaken the sign problem in QCD and in some other theories/models at moderate µ R with low T. Famous examples are the complexification of dynamical variables such as the comlpex Langevin dynamics [8,9], the Lefshcetz thimble method [10,11], and the path optimization method [12,13] . In addition, we can discuss the region using the canonical approach [14][15][16][17][18][19][20][21], partially. However, those methods are not perfect yet, and therefore, it is difficult to apply those methods in the whole µ R region.…”

Section: Introductionmentioning

confidence: 99%

Persistent Homology Analysis for Dense QCD Effective Model with Heavy Quarks

2022

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The isospin chemical potential region is known as the sign-problem-free region of quantum chromodynamics (QCD). In this paper, we introduce the isospin chemical potential to the three-dimensional three-state Potts model to mimic dense QCD; e.g., the QCD effective model with heavy quarks at finite density. We call it the QCD-like Potts model. The QCD-like Potts model does not have a sign problem, but we expect it to share some properties with QCD. Since we can obtain the non-approximated Potts spin configuration at finite isospin chemical potential, where the simple Metropolis algorithm can work, we perform the persistent homology analysis toward exploring the dense spatial structure of QCD. We show that the averaged birth-death ratio has the same information with the Polyakov loop, but the maximum birth-death ratio has additional information near the phase transition where the birth-death ratio means the ratio of the creation time of a hole and its vanishing time based on the persistent homology.

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Section: Introductionmentioning

confidence: 99%

Persistent Homology Analysis for Dense QCD Effective Model with Heavy Quarks

2022

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Search for nonextensivity in electron-proton interactions at s=300 GeV

Sarkar,

Aggarwal,

Kaur

2024

Phys. Rev. D

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Study of canonical entropy in electron-proton interactions at s=300 GeV is presented. The precision data collected by the H1 experiment at the HERA in different ranges of invariant hadronic mass W and the squared four-momentum exchange Q2 in electron-proton (ep) interactions have been analyzed in the ensemble theory approach. The canonical partition function relates to the multiplicity distribution which is often studied in collider experiments. We use the canonical ensemble partition function to explore the dynamics of hadron production in ep interactions by devising different methods to find the entropic parameter and the collision temperature. The inverse slope of the transverse momentum spectrum of produced hadrons also relates to the temperature. In the recent past, the CMS, ATLAS, and ALICE experiments at the LHC have studied the charged hadron transverse momentum and particle distributions in proton-proton and proton-nucleus interactions by using the Tsallis function within this approach. A detailed investigation into the role of the system volume and relation amongst different dynamical parameters reveals interesting results. Published by the American Physical Society 2024

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Multiplicity, probabilities, and canonical sectors for cold QCD matter

Cited by 2 publications

References 58 publications

Persistent Homology Analysis for Dense QCD Effective Model with Heavy Quarks

Persistent Homology Analysis for Dense QCD Effective Model with Heavy Quarks

Search for nonextensivity in electron-proton interactions at s=300 GeV

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