Jun 22 – 26, 2026
Stony Brook University/Online
America/New_York timezone

Contribution List

60 out of 60 displayed
  1. 6/22/26, 8:50 AM
  2. James Vary (Iowa State University)
    6/22/26, 9:00 AM
    Hamiltonian Methods, and Light-Front QCD

    We review recent progress in Hamiltonian Light-Front quantization of QCD within a basis function representation known as BLFQ. Expanded Fock spaces are employed to include dynamical gluons and sea quark-antiquark pairs. Observables such as mass spectra, parton distribution functions (PDFs), electromagnetic form factors and transitions, among others, are calculated and compared with...

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  3. Siqi Xu (Iowa State University)
    6/22/26, 9:40 AM
    Hamiltonian Methods, and Light-Front QCD

    Basis Light-Front Quantization (BLFQ) is a fully relativistic and nonperturbative framework for solving the light-front QCD Hamiltonian, aiming at first-principles calculations of hadron structure.

    For the nucleon system, we extend the Fock space up to six-particle sectors, including configurations such as five-quark–one-gluon and three-quark–three-gluon components with dynamical gluons. In...

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  4. Edward Shuryak (Stony Brook University)
    6/22/26, 10:45 AM
    Hamiltonian Methods, and Light-Front QCD

    The talk reviews two dosens of works during 2020's, with I.Zahed and students.
    At the spectroscopy side we develop novel methods to derive wave functions
    of multiquark hadrons with Fermi statistics,
    based on representations of permutation groups Sn. Particularly
    I will discuss pentaquarks and their admixture to nucleons, which are central to the
    spin puzzle and antiquark PDFs. We also...

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  5. Stanislaw Glazek (University of Warsaw)
    6/22/26, 11:25 AM
    Hamiltonian Methods, and Light-Front QCD

    Computational access to the logarithmically scale-dependent Hamiltonian eigenstate picture of hadrons in the space of virtual quark and gluon states, within the canonical front form of QCD, is impeded by small-x divergences that are stronger than logarithmic. We propose introducing a gluon mass parameter and an auxiliary color-octet scalar field to overcome this barrier, using the...

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  6. Andrea Maestri (Pavia U. and INFN-Pavia)
    6/22/26, 12:05 PM
    Hamiltonian Methods, and Light-Front QCD

    Hamiltonian truncation is a powerful non-perturbative method for quantum field theory, but its accuracy is generally limited by the influence of high-energy states excluded from the truncated Hilbert space. I will present Hamiltonian Truncation Effective Theory (HTET), which addresses this issue by interpreting the truncation scale as an effective field theory cutoff and encoding the effects...

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  7. Tobias Frederico (Instituto Tecnologico de Aeronáutica)
    6/22/26, 2:00 PM
    Light-Front Wave Functions and Hadron Structure

    Gravitational form factors (GFFs) are fundamental tools for probing the internal mass distribution and the dynamics of quarks and gluons within the hadron. They are derived from matrix elements of the energy–momentum tensor and encode information about the momentum, pressure, and energy distributions within hadrons. While lattice QCD offers robust results in Euclidean space, continuum methods...

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  8. Dr Ho-Meoyng Choi (Kyungpook National University)
    6/22/26, 2:30 PM
    Light-Front Wave Functions and Hadron Structure

    We present a self-consistent light-front quark model for the pion and kaon based on the Bakamjian--Thomas (BT) construction and study their electromagnetic form factors,
    unpolarized T-even transverse-momentum-dependent distributions (TMDs), and collinear parton distribution functions (PDFs). A consistent implementation of the invariant
    mass $M_0$ in both hadronic matrix elements and Lorentz...

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  9. Xianghui Cao (University of Science and Technology of China)
    6/22/26, 2:50 PM
    Light-Front Wave Functions and Hadron Structure

    The total spin of a hadron is a complex manifestation of its partonic constituents, arising from both the helicity of quarks and gluons, as well as their orbital angular momenta (OAM). Elucidating this spin structure at the partonic level remains a fundamental challenge in hadron physics. Analogous to spin-orbit correlations in atomic and nuclear systems, the interplay between spin and OAM is...

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  10. Prof. Chueng-Ryong Ji (North Carolina State University)
    6/22/26, 3:10 PM
    Light-Front Wave Functions and Hadron Structure

    Relativistic quantum invariance plays prominent roles in the study of quantum field theories, typically QED and QCD. We utilize the idea of interpolating the instant form dynamics (IFD) and the light-front dynamics (LFD) to realize the relativistic quantum invariance of QED and QCD. Reviewing the connection between LFD and IFD using the idea of interpolating the two different forms of the...

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  11. Adam Freese (Jefferson Lab)
    6/22/26, 4:15 PM
    Light-Front Wave Functions and Hadron Structure

    Light front densities have long been promoted as constituting true internal hadron densities. A big selling point is that light front uniquely permits transverse localization and a clean separation between the barycentric and internal degrees of freedom many-body systems, both of which follow from the light front's realization of the Poincaré group's Galilean subgroup. Rather than eliminating...

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  12. Wenyu Zhang (University of Since and Technology of China)
    6/22/26, 4:45 PM
    Light-Front Wave Functions and Hadron Structure

    $\quad$ We perform a first-principles, non-perturbative investigation of quantum entanglement between partonic constituents in a strongly coupled 3+1-dimensional scalar Yukawa theory, using light-front Hamiltonian methods with controlled Fock-space truncations. By explicitly constructing reduced density matrices for (mock) nucleon, pion, and anti-nucleon subsystems from light-front wave...

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  13. Gerald Miller (University of Washington, Seattle)
    6/23/26, 9:00 AM
    Confinement, Form Factors, and Tomography

    The strong interaction is the fundamental force that holds quarks and the
    gluon force carriers together to form protons and neutrons and also holds the
    atomic nucleus together. The theory governing quark-gluon interactions is Quantum Chromodynamics (QCD). A wide variety of experimental data teaches us thatquarks and gluons cannot be observed in isolation, a phenomenon known as confinement...

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  14. Yoshitaka Hatta (BNL)
    6/23/26, 9:40 AM
    GPDs, TMDs, and Nucleon Tomography

    Based on soft collinear effective theory (SCET), we derive factorization formula for the so-called Feynman contribution to the generalized parton distributions (GPD) and gravitational form factors at large momentum transfer.
    Based on https://arxiv.org/abs/2508.01529

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  15. Kiminad Mamo (UConn/JLab)
    6/23/26, 10:45 AM
    GPDs, TMDs, and Nucleon Tomography

    Generalized transverse-momentum dependent distributions (GTMDs) provide the most differential two-parton correlators for hadronic phase-space tomography, while GPDs and TMDs arise as limiting or projected descriptions relevant to exclusive, diffractive, and transverse-momentum-sensitive measurements in the EIC era. I will describe a fixed-conformal-spin holographic framework in which this...

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  16. Marco Radici (INFN - Sezione di Pavia (Italy))
    6/23/26, 11:25 AM
    GPDs, TMDs, and Nucleon Tomography

    Transverse-Momentum dependent Distributions (TMDs) are a key tool to build a 3-Dim tomography of the Nucleon in momentum space. I will discuss some recent TMD extractions for quarks in the Nucleon, whose analyses are reaching a theoretical precision comparable to collinear Parton Distribution Functions (PDFs), and I will show the potential impact of the upcoming Electron-Ion Collider (EIC). If...

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  17. Asmita Mukherjee (IIT Bombay)
    6/23/26, 11:55 AM
    GPDs, TMDs, and Nucleon Tomography

    We present a detailed study of the TMD evolution effects on the Sivers asymmetry in an almost back-to-back production of J/psi and photon as well as J/psi and jet at the electron-ion collider(EIC). We discuss the effect of the perturbative as well as the non-perturbative evolution kernels.

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  18. Shohini Bhattacharya (University of Connecticut)
    6/23/26, 2:00 PM
    GPDs, TMDs, and Nucleon Tomography

    Potential experimental signatures of generalized transverse momentum-dependent distributions (GTMDs) are proposed through exclusive pseudoscalar and heavy (axial-)vector meson production in lepton-proton collisions. Within the framework of collinear twist-3 factorization, we show that specific azimuthal-angle-dependent observables are sensitive to the quark and gluon GTMDs $F_{1,4}$​ and...

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  19. Andreas Metz (Temple University)
    6/23/26, 2:40 PM
    GPDs, TMDs, and Nucleon Tomography

    Dihadron production in high-energy collisions is of significant interest in its own right and offers unique opportunities to study the partonic structure of the nucleon, particularly its transversity distributions. We will address the definition of dihadron fragmentation functions that depend on the invariant mass of the dihadron system, the extraction of the transversity distributions and...

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  20. Edoardo Spezzano (University of Münster)
    6/23/26, 3:10 PM
    GPDs, TMDs, and Nucleon Tomography

    The upcoming Electron-Ion Collider requires a high level of theoretical precision to fully map the spin structure of the nucleon. A critical component of this precision is the rigorous treatment of heavy-flavor contributions to polarized deep inelastic scattering. In this study, we explore the heavy quark impact on the polarized structure functions $g_1, g_4, g_5, g_6,$ and $g_7$ at...

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  21. Haotian Cao (Northwestern University)
    6/23/26, 3:30 PM
    GPDs, TMDs, and Nucleon Tomography

    In this talk, I will present a charge correlation observable in deep-inelastic scattering, defined as the charge deposit measured at a fixed polar angle relative to the incoming proton. Using soft-collinear effective theory, we derive factorization theorems for both the target and current fragmentation regions. In the forward limit, the nucleon charge correlator encodes detailed nucleon...

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  22. TANMAY MAJI (National Institute of Technology Kurukshetra, India)
    6/23/26, 4:15 PM
    GPDs, TMDs, and Nucleon Tomography

    The Wigner distributions in boost-invariant longitudinal space for gluons in a proton are presented using the light-front gluon spectator model inspired by AdS/QCD. The boost-invariant longitudinal space defined by the coordinate $\sigma=\frac{1}{2}b^- P^+$, can be accessed through the Fourier transformation over skewness $\xi$ to the gluon-gluon general transverse momentum dependent...

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  23. Min-Huan Chu (Adam Mickiewicz University)
    6/23/26, 4:35 PM
    GPDs, TMDs, and Nucleon Tomography

    We extend the asymmetric frame formalism for Generalized Parton Distributions (GPDs) to nonzero skewness by incorporating longitudinal momentum transfer. This framework, based on Lorentz-invariant amplitudes, provides efficient access to broad kinematics for mapping GPDs from the lattice. We validate the formalism using lattice data, extracting coordinate-space amplitudes to determine GPDs H...

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  24. Bheemsehan Gurjar (University of Science and Technology of China)
    6/23/26, 4:55 PM
    GPDs, TMDs, and Nucleon Tomography

    The near-threshold photo- and electroproduction of heavy vector quarkonia off the proton offers a unique probe of its gluonic structure. In particular, the $J/\psi$ photoproduction cross section close to threshold is directly sensitive to the proton’s gluon gravitational form factors (GFFs). In this work, we employ the generalized parton distribution framework, combined with gluon GFFs...

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  25. Christian Weiss (Jefferson Lab)
    6/24/26, 9:00 AM
    QCD Dynamics, Instantons, and Nuclear Structure

    Chiral symmetry breaking by instantons converts low-energy QCD into an effective dynamics of massive fermions with chiral spin-flavor interactions. The same mechanism converts QCD operators with gauge fields into effective multifermion operators. Large instanton effects are observed in the twist-3 part of the QCD quark energy-momentum tensor [1], which controls the decomposition of the quark...

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  26. Wei-Yang Liu (Stony Brook University)
    6/24/26, 9:40 AM
    QCD Dynamics, Instantons, and Nuclear Structure

    Light-front dynamics provides a natural framework for describing hadron structure in terms of partonic degrees of freedom, yet the role of the QCD vacuum remains subtle. In instanton liquid vacuum, nonlocal, momentum-dependent interactions for light quarks emerge from semiclassical gauge configurations in Euclidean space. By analytical continuation back to lightcone signature, we connects...

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  27. Kamil Serafin (Tufts University)
    6/24/26, 10:20 AM
    QCD Dynamics, Instantons, and Nuclear Structure

    I will present the full second-order effective Hamiltonian of QCD, computed and renormalized using the renormalization group procedure for effective particles (RGPEP) and the canonical Hamiltonian as the starting point. The infrared singularities are regulated by a small gluon mass, and the final Hamiltonian is obtained in the limit of that mass approaching zero. We show that the matrix...

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  28. Frank Vera (NSF-JLab)
    6/24/26, 11:10 AM
    QCD Dynamics, Instantons, and Nuclear Structure

    We present a new approach to light-front nuclear structure based on chiral EFT dynamics. It is intended for analyzing the low-energy nuclear structure at fixed light-front time, as it would be sampled in high-energy scattering processes on the nucleus. The elements of light-front nuclear structure in nucleon and pion degrees of freedom (configurations, propagation, interactions) are formulated...

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  29. Alexandre Deur (Jefferson Lab)
    6/24/26, 11:30 AM
    QCD Dynamics, Instantons, and Nuclear Structure

    The Unruh effect is a widely accepted expectation that the virtual particles of the Instant-Form vacuum appear to an accelerated observer as a gas of real particles at a temperature proportional to the acceleration. In this talk, we will show that the effect is absent in a Front-Form analysis, therefore questioning its objective existence, and how the Front-Form and Instant-Form conclusions...

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  30. George Sterman
    6/24/26, 1:30 PM
    Jets, Small-x Dynamics, and Saturation Physics

    Light-cone Perturbation theory in coordinate space for massless particles has many of the nice features of its momentum space analog and also important differences. The role of states in momentum space is taken by paths in the coordinate version. We'll summarize coordinate diagrammatic rules and discuss progress toward understanding how infrared divergences cancel in the coordinate picture.

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  31. Wim Cosyn (Florida International University)
    6/24/26, 2:10 PM
    Jets, Small-x Dynamics, and Saturation Physics

    In spectator tagged DIS on nuclei, products of nuclear breakup are detected. This is an example of SIDIS in the target fragmentation region. Methods of light-front quantization are employed to separate nuclear and nucleonic structure in the high-energy process and achieve a composite description.

    The light-front wave function of the polarized deuteron is matched with a rotationally...

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  32. José Garrido (UTFSM)
    6/24/26, 2:30 PM
    Jets, Small-x Dynamics, and Saturation Physics

    We present a new derivation of the non-linear evolution equations for the cross sections of productions of $n$-cut Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomerons in the final states ($\sigma_n$) in high energy DIS on a nucleus, resumming all multiple rescatterings and all leading logarithms of energy. These equations coincide with the equations that have been derived using the Abramovsky,...

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  33. Fei Yao
    6/24/26, 2:50 PM
    Jets, Small-x Dynamics, and Saturation Physics

    We derive the gluon transverse-momentum-dependent (TMD) operator structure of back-to-back quark–antiquark dijet production in deep inelastic scattering at arbitrary Bjorken-x to twist-3 accuracy. Working in back-to-back kinematics, where the transverse momentum imbalance is much smaller than the individual jet momenta, we perform a systematic gradient expansion of quark propagators in the...

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  34. Ramkumar Radhakrishnan (North Carolina State University, Raleigh, USA)
    6/24/26, 3:35 PM
    Jets, Small-x Dynamics, and Saturation Physics

    Within the Color Glass Condensate (CGC) framework and using the light cone wave function (LCWF) formalism, we compute the differential cross section for single inclusive gluon production at central rapidity at next-to-leading order (NLO) in the small-$x$ regime. In the CGC approach, the LCWF factorizes into valence and soft sectors residing in separate Hilbert spaces, separated by an arbitrary...

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  35. Deepesh Bhamre (Universidade Cidade de Sao Paulo / Universidade Cruzeiro do Sul, Sao Paulo, Brazil)
    6/24/26, 3:55 PM
    Jets, Small-x Dynamics, and Saturation Physics

    Transverse single spin asymmetries (TSSAs) can be observed in high energy scattering processes involving polarized protons. These observables provide valuable information about the 3-D structure of proton. Sivers function is a type of transverse momentum dependent (TMD) parton distribution function responsible for TSSAs. Although the quark Sivers function has been studied well in the recent...

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  36. Murilo Pedroso
    6/24/26, 4:25 PM
    Jets, Small-x Dynamics, and Saturation Physics

    In the proposed approach, the pion is described by the Bethe–Salpeter wave function (BSWF), obtained as a solution of the corresponding bound-state equation in Minkowski space. Established results from lattice QCD calculations for light quarks, gluons, and the dressed quark–gluon vertex are employed to model the kernel of the Bethe–Salpeter equation (BSE). The resulting integral equation can...

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  37. wayne polyzou* (University of Iowa)
    6/24/26, 4:45 PM
    Jets, Small-x Dynamics, and Saturation Physics

    I discuss progress on the application of the clothed-particle representation of
    quantum field theory, originally due to Greenberg and Schewber [1] and devel-
    oped by O. Shebeko and collaborators [2][3][4], to compute relativistic electron
    and neutrino scattering observables off of light nuclei. In this application a
    canonical transformation is applied to the Poincaré generators and strong...

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  38. Xiangdong Ji (U. Maryland)
    6/25/26, 9:00 AM
    Lattice QCD and LaMET
  39. Peter Petreczky (BNL)
    6/25/26, 9:40 AM
    Lattice QCD and LaMET

    I will discuss recent lattice results on unpolarized, helicity and transversity PDF obtained with LaMET framework with HYP smeared clover Wilson quarks in valance sector and highly improved staggered quarks in the sea with lattice spacing a=0.076 fm and 0.06 fm. The lattice results will be compared to the ones obtained from global analysis and the effects of power law (higher twist) correction...

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  40. Sergey Syritsyn (Stony Brook University)
    6/25/26, 10:45 AM
    Lattice QCD and LaMET

    Proton and neutron electric and magnetic form factors are the primary characteristics of their spatial structure and have been studied extensively over the past half-century. At large values of the momentum transfer $Q^2$ they should reveal transition from nonperturbative to perturbative QCD dynamics and effects of quark orbital angular momenta and diquark correlations. Currently, these form...

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  41. Sebastian Grieninger (University of Washington)
    6/25/26, 11:25 AM
    LaMET, PDFs, and Lattice Hadron Structure

    Generalized Parton Distribution functions (GPDs) are off-diagonal light-cone matrix elements that encode the internal structure of hadrons in terms of quark and gluon degrees of freedom. In this work, we present the first nonperturbative study of quasi-GPDs in the massive Schwinger model, quantum electrodynamics in 1+1 dimensions (QED$_2$), within the Hamiltonian formulation of lattice field...

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  42. Saraswati Pandey (University of Virginia)
    6/25/26, 11:55 AM
    Lattice QCD and LaMET

    Using generalized parton distributions as a unifying framework, we interpret the connected and disconnected contributions obtained from the ab-initio Euclidean path-integral formulation of the hadronic tensor in the context of both nucleon elastic form factors and parton distribution functions. We also develop a phenomenological approach to characterize non-perturbative effects in...

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  43. 6/25/26, 2:00 PM
  44. Peter Love (Tufts University)
    6/26/26, 9:00 AM
    Quantum Computing, AI, and Computational Methods

    Quantum simulation is a motivating application for large-scale quantum computers. Quantum simulation of quantum field theories involves challenges of regularization, renormalization and gauge symmetry. The light front provides a particularly appealing approach for quantum simulation, allowing techniques developed in other fields to be reused. I will give an introduction to our work in quantum...

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  45. David Frenklakh
    6/26/26, 9:30 AM
    Quantum Computing, AI, and Computational Methods

    How does a far-from-equilibrium quantum system reach thermal equilibrium, and what role does entanglement play? We address these questions in the massive Schwinger model — a non-integrable (1+1)-dimensional gauge theory — subjected to a quench by a pair of charges receding at the speed of light. Using tensor network methods, we study the resulting string breaking dynamics, which serve as a...

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  46. Jie Pan (Stony Brook University)
    6/26/26, 9:55 AM
    Quantum Computing, AI, and Computational Methods

    We present a hybrid computational framework for light-front Hamiltonian calculations in which machine learning is used to assist Fock-space truncation, while the low-lying spectrum is obtained from standard Hamiltonian diagonalization. The goal is to reduce the computational cost of non-perturbative light-front calculations without compromising the physical reliability of established numerical...

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  47. Jake Montgomery (Stony Brook University)
    6/26/26, 10:40 AM
    Quantum Computing, AI, and Computational Methods

    Generalized Parton Distribution functions (GPDs) are off-diagonal light-cone matrix elements that encode the internal structure of hadrons in terms of quark and gluon degrees of freedom. We present the first nonperturbative study of quasi-GPDs in the massive Schwinger model, quantum electrodynamics in 1+1 dimensions (QED2), within the Hamiltonian formulation of lattice field theory....

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  48. Felix Ringer (Stony Brook University)
    6/26/26, 11:10 AM
    Quantum Computing, AI, and Computational Methods

    Extending quantum simulations of lattice gauge theories beyond one spatial dimension requires encoding gauge fields with infinite-dimensional local Hilbert spaces. I will present a hybrid qubit-qumode framework for real-time simulations of quantum electrodynamics in (2+1) dimensions, where fermionic matter fields are encoded in qubits and gauge fields are represented by continuous-variable...

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  49. Ho-Yeon Won (École Polytechnique.edu)
    6/26/26, 1:30 PM
    McCartor Awardees

    Angular momentum (AM) contains explicit position vectors, and its definition depends on the choice of pivot. The corresponding internal AM operators defined relative to the relativistic centers of energy, mass, and spin, as well as their transverse spin sum rules, have been studied previously. We extend this discussion to spatial distributions in the nucleon. We derive the two-dimensional...

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  50. William Good (Michigan State University)
    6/26/26, 2:00 PM
    McCartor Awardees

    We report updates on tackling the systematics in the nucleon gluon parton distribution function (PDF) from Large-Momentum Effective Theory (LaMET). We compute use the self renormalization technique to compute gluon PDFs from data measured on HISQ ensembles generated by the MILC collaboration with $N_f = 2 + 1 + 1$, $a = 0.15, 0.12, 0.09$ fm, with valence pion masses around 310 and 690 MeV. We...

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  51. Satvir Kaur (Institute of Modern Physics, Chinese Academy of Sciences)
    6/26/26, 2:30 PM
    McCartor Awardees

    The deuteron, as the lightest nuclear bound state, provides a unique laboratory for investigating the transition from conventional nuclear degrees of freedom to quark-gluon dynamics in nuclei. In this work, we explore QCD effects in the deuteron beyond the traditional proton-neutron description by incorporating hidden-color configurations within a light-front framework. Using a...

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  52. Zein-Eddine Meziani (Argonne National Laboratory)
    6/26/26, 3:25 PM

    The doubly differential cross-section, both in photon energy and momentum transfer ($t$), for the near-threshold photoproduction of J/$\psi$ on the nucleon through its J/$\psi$ muon-decay channel, is compared to all available electron-decay channel data from Jefferson Lab, namely GlueX, CLAS12, J/$\psi$-007. Using those data together, I will show their impact on the extraction of the gluon...

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  53. Abhay Deshpande (Stony Brook University & CFNS)
    6/26/26, 4:05 PM
  54. 6/26/26, 4:45 PM
  55. 6/26/26, 5:00 PM
  56. Garima Punetha (LSM Campus Pithoragarh SSJ University Almora Uttarakhand India)
    QCD Dynamics, Instantons, and Nuclear Structure

    We formulate a dual description of SU(3) Quantum Chromodynamics that explicitly incorporates the local and topological structure of the color gauge group through magnetic symmetry and dual gauge potentials. In this framework, color confinement emerges from monopole condensation in the nonperturbative QCD vacuum, giving rise to flux-tube configurations and massive magnetic glueball modes....

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  57. Huey-Wen Lin

    The flavor asymmetry of the partonic sea offers important insight into the nonperturbative structure of hadrons and the underlying dynamics of QCD. Recent methodological advances in lattice QCD (LQCD) have enabled direct access to the Bjorken-x dependence of hadronic structure, overcoming the long-standing limitation of lattice calculations to a small number of distribution moments. In this...

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  58. Shaswat Tiwari (Brookhaven National Laboratory)
    Quantum Computing, AI, and Computational Methods

    We propose a method for solving the Jalilian-Marian–Iancu–McLerran–Weigert–Leonidov–Kovner (JIMWLK) evolution equation on quantum computers. Our approach exploits the reformulation of the JIMWLK equation as a Lindblad master equation governing the rapidity evolution of the hadronic density matrix, as established in prior work. To render the problem tractable for quantum simulation, we...

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  59. Tobias Frederico (Instituto Tecnologico de Aeronáutica)

    We will present results for the nucleon structure within light-front dynamics, adopting different interaction models. The framework is based on the solution of the Bethe-Salpeter equation projected onto the light-front for an effective interaction, as well as in 1+1 dimensions in ladder approximation, and is compared to previous calculations. Results for the parton distributions will be shown....

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  60. George Sterman
    Jets, Small-x Dynamics, and Saturation Physics