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Nuclear Theory·nucl-th

Thursday·October 26, 2023

10 papers—6 primary·4 cross-listed

All10Primary6Cross-lists4
  1. 07

    [Submitted on 25 Oct 2023] (cross-list from hep-ph)

    Dyson-Schwinger equations towards cold-dense QCD matter with improved truncations

    Zhan Bai🇨🇳 · Yu-Xin Liu🇨🇳

    We take the Dyson-Schwinger equation (DSE) approach of QCD to study the phase transition and the equation of state of cold dense matter. Besides the bare vertex and Gauss gluon model, we take into account an improved truncation scheme, the CLRQ vertex and infrared-constant gluon model. For the dynamical chiral symmetry breaking solution of the DSE, we require that the emergence of quark number density to be at the chemical potential for the nuclear liquid-gas phase transition to take place, by incorporating a chemical potential dependent modification factor to the gluon model. The result shows that our modified scheme can not only describe the phase transition of the cold dense matter well but also the deduced equation of state of the matter can describe the recent astronomical observations consistently.

    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2310.16292 [pdf]
    0 citations
  2. 08

    [Submitted on 25 Oct 2023] (cross-list from hep-ph)

    Diffusion model approach to simulating electron-proton scattering events

    Peter Devlin🇺🇸 · Jian-Wei Qiu🇺🇸 · Felix Ringer🇺🇸 · Nobuo Sato🇺🇸

    Generative AI is a fast-growing area of research offering various avenues for exploration in high-energy nuclear physics. In this work, we explore the use of generative models for simulating electron-proton collisions relevant to experiments like CEBAF and the future Electron-Ion Collider (EIC). These experiments play a critical role in advancing our understanding of nucleons and nuclei in terms of quark and gluon degrees of freedom. The use of generative models for simulating collider events faces several challenges such as the sparsity of the data, the presence of global or event-wide constraints, and steeply falling particle distributions. In this work, we focus on the implementation of diffusion models for the simulation of electron-proton scattering events at EIC energies. Our results demonstrate that diffusion models can accurately reproduce relevant observables such as momentum distributions and correlations of particles, momentum sum rules, and the leading electron kinematics, all of which are of particular interest in electron-proton collisions. Although the sampling process is relatively slow compared to other machine learning architectures, we find diffusion models can generate high-quality samples. We foresee various applications of our work including inference for nuclear structure, interpretable generative machine learning, and searches of physics beyond the Standard Model.

    Comments:
    14 pages, 10 figures, journal version
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Theory (nucl-th)
    arXiv:
    2310.16308 [pdf]
    PRD(2024)·16 citations
  3. 09

    [Submitted on 25 Oct 2023] (cross-list from hep-ph)

    Constructing the Equation of State of QCD in a functional QCD based scheme

    Yi Lu🇨🇳 · Fei Gao🇨🇳 · Bao-Chi Fu🇨🇳 · Hui-Chao Song🇨🇳 · Yu-Xin Liu🇨🇳

    We construct the equation of state (EoS) of QCD based on the finite chemical potential information from the functional QCD approaches, with the assistance of the lattice QCD EoS. The obtained EoS is consistent with the up-to-date estimations of the QCD phase diagram, including a phase transition temperature at zero chemical potential of MeV, the curvature of the transition line and also a critical end point at MeV. In specific, the phase diagram mapping is achieved by incorporating the order parameters into the EoS, namely the dynamical quark mass for the chiral phase transition together with the Polyakov loop parameter for the deconfinement phase transition. We also implement the EoS in hydrodynamic simulations to compute the particle yields, ratios and collective flow, and find that our obtained EoS agrees well with the commonly used one based on the combination of lattice QCD simulation and hadron resonance gas model.

    Comments:
    8 pages, 12 figures
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
    arXiv:
    2310.16345 [pdf]
    PRD(2024)·16 citations
  4. 10

    [Submitted on 25 Oct 2023] (cross-list from hep-th)

    Baryons as Vortexes on the Domain Wall

    Fan Lin🇨🇳 · Yong-Liang Ma🇨🇳

    We show that the recent construction of baryons on the domain wall can be understood as vortexes of the principal effective theory -- the Chern-Simons-Higgs theory -- on a 2+1-dimensional sheet. This theory has a series of vertex solutions, and the vortex with unit topological charge naturally spins , which coincides with the spin of the one-flavor baryon in QCD. Since the scaling of the vortexes is the same as that of baryons, baryons can be regarded as vortexes. By virtue of the particle-vortex symmetry, the dual Zhang-Hansson-Kivelson theory indicates that the quark carries topological charge and obeys fractional statistics. The generalization to arbitrary is also discussed.

    Comments:
    13 pages
    Subjects:
    High Energy Physics — Theory (hep-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2310.16438 [pdf]
    JHEP(2024)·10 citations

Affiliations

first authorsco-authorsvia INSPIRE