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Nuclear Theory·nucl-th

Wednesday·January 15, 2025

11 papers—5 primary·6 cross-listed

All11Primary5Cross-lists6
  1. 06

    [Submitted on 13 Jan 2025] (cross-list from hep-ph)

    Mixing interactions and effects in the NJL-model

    F.L. Braghin🇧🇷

    The flavor-dependent quark-antiquark contact interactions, induced by vacuum polarization and recently derived for flavor U(3) Nambu-Jona-Lasinio model, are articulated with the resulting mixing effects emerging from flavor symmetry breaking in view. The formal effects of the explicit mixing interactions, , are detailed firstly for the meson mixing problem without the inclusion of 't Hooft interactions induced by instantons. Secondly, it is shown that these mixings, in the scalar channel of quark-antiquark interactions, might give rise to quark mixing in the gap equations. Sixth order quark-antiquark interactions from vacuum polarization, that break symmetry, also contribute.

    Comments:
    7 pages, contribution to the Proceedings of The 11th International Workshop on Chiral Dynamics (CD2024), 26-30 August 2024, Ruhr University Bochum
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2501.07658 [pdf]
    PoS(2026)·1 citation
  2. 07

    [Submitted on 14 Jan 2025] (cross-list from hep-ph)

    Generic framework for non-perturbative QCD in light hadrons

    Wei-Yang Liu🇺🇸

    In this paper, we review several topological aspects of the QCD vacuum and recent progress on this quantitative unifying framework for the low-lying hadron physics rooted in QCD by introducing the vacuum as a liquid of pseudoparticles. We have developed systematic density expansion on the dilute vacuum to calculate the vacuum expectation values (VEVs) and generalize the calculations to hadronic matrix element and hadronic form factors using the instanton liquid model (ILM). Thereby, the nonperturbative physics can be analyzed in a systematic framework with a few parameters: instanton size and instanton density , and current quark mass .

    Comments:
    43 pages, 23 figures
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
    arXiv:
    2501.07776 [pdf]
    8 citations
  3. 08

    [Submitted on 14 Jan 2025] (cross-list from hep-th)

    Self-similar inverse cascade from generalized symmetries

    Yuji Hirono🇯🇵 · Kohei Kamada🇨🇳 · Naoki Yamamoto🇯🇵 · Ryo Yokokura🇯🇵

    We investigate the role of generalized symmetries in driving non-equilibrium and non-linear phenomena, specifically focusing on turbulent systems. While conventional turbulence studies have revealed inverse cascades driven by conserved quantities integrated over the entire space, such as helicity in three spatial dimensions, the influence of higher-form symmetries, whose conserved charges are defined by integration over subspaces, remains largely unexplored. We demonstrate a novel mechanism where higher-form symmetries naturally induce a self-similar inverse cascade. Taking axion electrodynamics with non-linear topological interaction as a paradigmatic example, we show that the conserved charge associated with its 1-form symmetry drives the system toward large-scale coherent structures through a universal scaling behavior characterized by analytically determined scaling exponents. Our findings suggest that higher-form symmetries can provide a fundamental organizing principle for understanding non-equilibrium phenomena and the emergence of coherent structures in turbulent systems.

    Comments:
    6 pages, 5 figures; v2: more discussions and references added, matched to the version published in PRL
    Subjects:
    High Energy Physics — Theory (hep-th); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); High Energy Physics — Phenomenology (hep-ph); nlin.CD (nlin.CD); Nuclear Theory (nucl-th)
    arXiv:
    2501.07781 [pdf]
    PRL(2026)·1 citation
  4. 09

    [Submitted on 14 Jan 2025] (cross-list from hep-ph)

    Modified Coherence and the Transverse Extent of Jets

    Amit Kumar🇨🇦 · Abhijit Majumder🇺🇸 · Chathuranga Sirimanna🇺🇸 · Yasuki Tachibana🇯🇵

    We present a study of the transverse size of parton showers and their diminishing interaction with the medium in the high virtuality stage of jet evolution. We consider the process of a hard quark produced in deep inelastic scattering off a large nucleus. Single gluon radiation from this quark, in the absence of scattering, is re-derived using wave-packets. This allows for a derivation of the quantum uncertainty size of the hard quark, at the point of splitting. This uncertainty size is then incorporated within a Monte-Carlo shower routine yielding transverse shower sizes noticeably larger than the classical antenna size of the shower. No clear relation is found between the full uncertainty size of the shower and the virtuality of the originating parton. The single gluon emission from the hard quark is then re-analysed for the case of single rescattering off the remainder of the nucleus. A relation is derived between the jet transport coefficient and the gluon Transverse Momentum Dependent Parton Distribution Function (gTMDPDF). Solving this relation, for a simple case, clearly demonstrates the weakening of with the virtuality of the hard splitting parton.

    Comments:
    17 pages, 10 figures
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2501.07823 [pdf]
    PRC(2025)·9 citations
  5. 10

    [Submitted on 14 Jan 2025] (cross-list from hep-ph)

    Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory

    Wenyu Zhang🇨🇳 · Yang Li🇨🇳 · James P. Vary🇺🇸

    We present the first systematic investigation of the Lorentz covariance of the charge form factor for a strongly coupled scalar theory in (3+1)-dimensions. Our results are based on the first non-perturbative solution of the scalar Yukawa theory with a Fock sector expansion including up to thee-particles (one mock nucleon plus two mock pions or two mock nucleons plus one mock anti-nucleon). The light-front Hamiltonian is constructed and renormalized using a Fock sector dependent scheme. The derived eigenvalue equation is then solved non-perturbatively to obtain the wave functions, which are then used to compute the current matrix element. We perform a covariant analysis of the current matrix element taking into account possible violation of the Poincaré symmetry due to the Fock sector truncation. The physical form factor depends on two boost invariants , instead of the single Lorentz invariant . Instead of adopting the conventional Drell-Yan frame , we evaluate the form factor in general frames, and use the frame dependence to quantitatively gauge the loss of the Lorentz covariance. Our numerical result shows that as more Fock sectors are included, the frame dependence reduces dramatically. In particular, the anti-nucleon degree of freedom plays an important role in the reduction of the frame dependence, even though it only takes a small portion within the state vector. We also find that there is no zero-mode contribution to the current for the scalar Yukawa theory.

    Comments:
    38 pages, 14 figures, accepted in JHEP
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
    arXiv:
    2501.07826 [pdf]
    JHEP(2025)·3 citations
  6. 11

    [Submitted on 14 Jan 2025] (cross-list from nucl-ex)

    Quarkonia and Deconfined Quark-Gluon Matter in Heavy-Ion Collisions

    A. Andronic🇩🇪 · R. Arnaldi🇮🇹

    In this report, we present an experimental overview of quarkonium results obtained in nucleus-nucleus collisions, with a focus on the data collected at the LHC. We discuss the current understanding of charmonium and bottomonium behavior in the deconfined medium produced in such collisions, comparing the various observables now accessible to state-of-the-art theoretical models. We also discuss the open points and how future heavy-ion experiments aim to clarify these aspects.

    Comments:
    27 pages, 8 figures; version accepted for publications in Ann. Rev. Nucl. Part. Phys
    Subjects:
    Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
    arXiv:
    2501.08290 [pdf]
    Ann.Rev.Nucl.Part.Sci.(2025)·17 citations

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