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Nuclear Theory·nucl-th

Wednesday·December 4, 2024

8 papers—1 primary·7 cross-listed

All8Primary1Cross-lists7
  1. 02

    [Submitted on 27 Nov 2024] (cross-list from cond-mat.other)

    Ladder equation for the three-particle vertex and its approximate solution

    Patrick Kappl · Tin Ribic · Anna Kauch · Karsten Held

    We generalize the three two-particle Bethe-Salpeter equations to ten three-particle ladders. These equations are exact and yield the exact three-particle vertex, if we knew the three-particle vertex irreducible in one of the ten channels. However, as we do not have this three-particle irreducible vertex at hand, we approximate this building block for the ladder by the sum of two-particle irreducible vertices each connecting two fermionic lines. The comparison to the exact solution shows that this approximation is only good for rather weak interactions and even than only qualitatively - at least for the non-linear response function analyzed.

    Comments:
    20 pages, 23 figures + Supplemental Material
    Subjects:
    cond-mat.other (cond-mat.other); Nuclear Theory (nucl-th)
    arXiv:
    2412.01848 [pdf]
    PRResearch(2025)·1 citation
  2. 03

    [Submitted on 2 Dec 2024] (cross-list from hep-lat)

    Estimating energy levels from lattice QCD correlation functions using a transfer matrix formalism

    Debsubhra Chakraborty🇮🇳 · Dhruv Sood🇮🇳 · Archana Radhakrishnan🇮🇳 · Nilmani Mathur🇮🇳

    We present an efficient method for extracting energy levels from lattice QCD correlation functions by computing the eigenvalues of the transfer matrix associated with the lattice QCD Hamiltonian. While mathematically and numerically equivalent to the recently introduced Lanczos procedure, our approach introduces a novel prescription for removing spurious eigenvalues using a kernel density estimator (KDE) and Gaussian-convoluted histogram method. This strategy yields a robust and stable estimate of the energy spectrum, outperforming the Cullum-Willoughby filtering technique in efficiency. In addition, we detail how this method can be applied to extract overlap factors from two-point correlation functions, as well as matrix elements from three-point functions with a current insertion. Furthermore, we extend the methodology to accommodate correlation matrices constructed from a variational basis of operators, with its Block formulation. We demonstrate the efficacy of this framework by computing the two lowest energy levels for a broad range of hadrons, including several nuclei. Although the signal-to-noise ratio is not significantly improved, the extracted energy levels are found to be more reliable than those obtained with conventional techniques. Within a given statistical ensemble, the proposed method effectively captures both statistical uncertainties and systematic errors, including those arising from the choice of fitting window, making it a robust and practical tool for lattice QCD analysis.

    Comments:
    27 pages, 24 figures, Adaptive KDE method is introduced for filtration of spurious eigenvalues
    Subjects:
    High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
    arXiv:
    2412.01900 [pdf]
    PRD(2025)·20 citations
  3. 04

    [Submitted on 2 Dec 2024] (cross-list from hep-lat)

    Regulated chiral gauge theory and the strong CP problem

    David B. Kaplan🇺🇸 · Srimoyee Sen🇺🇸

    Four-dimensional chiral gauge theory can be formulated as the boundary theory on a five-dimensional manifold in a manner that may be realized on a finite lattice. There are interesting features of these theories which defy a purely four-dimensional conception of universality. We find that QCD when embedded in a chiral gauge theory (the Standard Model) and regulated this way can simultaneously avoid both the problem and the strong problem, with a central role played by fermion zeromodes localized far away in the fifth dimension. In this way it differs from conventional lattice QCD formulated as a stand-alone theory, universality being violated by inaccessible light modes in the five-dimensional bulk. Our analysis builds on recent work by others that highlights the role of global symmetries in five dimensional formulations of four-dimensional chiral gauge theories, and the generic appearance of fermion zeromodes in the bulk.

    Comments:
    Published version with typos corrected
    Subjects:
    High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
    arXiv:
    2412.02024 [pdf]
    PRD(2026)·12 citations
  4. 05

    [Submitted on 3 Dec 2024] (cross-list from hep-ph)

    Electromagnetic interactions in elastic neutrino-nucleon scattering

    Konstantin A. Kouzakov🇷🇺 · Fedor M. Lazarev🇷🇺 · Alexander I. Studenikin🇷🇺

    A thorough account of electromagnetic interactions of massive Dirac neutrinos as well as their spin-flavor state in the theoretical formulation of elastic neutrino-nucleon scattering is given. The formalism of neutrino charge, magnetic, electric, and anapole form factors defined as matrices in the mass basis is employed under the assumption of three-neutrino mixing. The flavor and spin change of neutrinos propagating from the source to the detector is taken into account in the form of a spin-flavor density matrix of the neutrino arriving at the detector. The potential effects of the neutrino charge radii, magnetic moments, and spin polarization in the neutrino-nucleon scattering experiments are outlined.

    Comments:
    27 pages, 4 figures
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2412.02169 [pdf]
    PRD(2025)·7 citations
  5. 06

    [Submitted on 3 Dec 2024] (cross-list from hep-th)

    Chiral Anomalous Magnetohydrodynamics in action: effective field theory and holography

    Matteo Baggioli🇨🇳 · Yanyan Bu🇨🇳 · Xiyang Sun🇨🇳

    Chiral Anomalous Magnetohydrodynamics (CAMHD) provides a low-energy effective framework for describing chiral fluids in the presence of dynamical electromagnetic fields and axial anomaly. This theory finds applications across diverse physical systems, including heavy-ion collisions, the early universe, and Weyl/Dirac semimetals. Along with Schwinger-Keldysh (SK) effective theories, holographic models serve as a complementary tool to provide a systematic formulation of CAMHD that goes beyond the weak coupling regime. In this work, we explore holographic models with symmetry, where the electromagnetic field is rendered dynamical through mixed boundary conditions applied to the bulk gauge field and the axial anomaly is introduced via a Chern-Simons bulk term. Through a detailed holographic SK analysis, we demonstrate that the low-energy effective action derived from this model aligns precisely with the SK field theory proposed by Landry and Liu and, in fact, it generalizes it to scenarios with finite background axial field. This alignment not only validates the holographic model but also paves the way for its use in exploring unresolved aspects of CAMHD, such as the recently proposed chiral magnetic electric separation wave and nonlinear chiral instabilities.

    Comments:
    21 pages, 1 figure
    Subjects:
    High Energy Physics — Theory (hep-th); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Nuclear Theory (nucl-th)
    arXiv:
    2412.02361 [pdf]
    JHEP(2025)·11 citations
  6. 07

    [Submitted on 3 Dec 2024] (cross-list from hep-ph)

    Non-perturbative constraints on perturbation theory at finite temperature

    Peter Lowdon🇩🇪 · Owe Philipsen🇩🇪

    It has long been understood that the inclusion of temperature in the perturbative treatment of quantum field theories leads to complications that are not present at zero temperature. In these proceedings we report on the non-perturbative obstructions that arise, and how these lead to deviations in the predictions of lattice scalar correlation functions in massive theory. Using the known non-perturbative spectral constraints satisfied by finite-temperature correlation functions we outline why the presence of distinct particle-like excitations could provide a resolution to these issues.

    Comments:
    8 pages, 3 figures; talk presented at the EMMI Workshop: "Aspects of Criticality II", 2-4 July 2024, Wroclaw, Poland; v2: matches published version
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
    arXiv:
    2412.02401 [pdf]
    J.Subatomic Part.Cosmol.(2025)·1 citation
  7. 08

    [Submitted on 3 Dec 2024] (cross-list from hep-ex)

    Soft QCD Physics at the LHC: highlights and opportunities

    Peter Christiansen🇸🇪 · Pierre Van Mechelen🇧🇪

    The Large Hadron Collider (LHC) at CERN in Switzerland became operational in 2009 and has since then produced a plethora of results for proton-proton (pp) collisions. This short review covers results that relates to soft QCD focusing on non-diffractive physics at mid-rapidity. Most of the presented results comes from transverse momentum () spectra and related/derived observables such as multiplicity, and ratios, but also the observed ``ridge'' and the questions of quark-gluon plasma in pp collisions will be discussed. The goal of the review is on one hand to introduce the topics and provide references for scientists joining the LHC program while at the same time highlighting what we consider the most interesting results and open questions to inspire novel measurements.

    Comments:
    25 pages, 5 figures. Invited review prepared for Annual Review of Nuclear and Particle Science
    Subjects:
    High Energy Physics — Experiment (hep-ex); High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
    arXiv:
    2412.02672 [pdf]
    Ann.Rev.Nucl.Part.Sci.(2025)·7 citations

Affiliations

first authorsco-authorsvia INSPIRE