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We review recent advancements in understanding nucleon structure within the Basis Light-Front Quantization (BLFQ) framework--a fully relativistic, nonperturbative approach to solving quantum field theories. In its initial phase, we start…

High Energy Physics - Phenomenology · Physics 2025-12-10 James P. Vary , Chandan Mondal , Siqi Xu , Xingbo Zhao , Yang Li

Basis Light-front Quantization (BLFQ) is a newly developed nonperturbative approach, aiming at solving relativistic bound systems based on the Hamiltonian formalism of light-front dynamics. In this work, we introduce its application to the…

Nuclear Theory · Physics 2020-09-07 Kaiyu Fu , Hengfei Zhao , Xingbo Zhao , James P. Vary

We investigate the Generalized Parton Distributions (GPDs) in impact parameter space using the explicit light front wave functions (LFWFs) for the two-particle Fock state of the electron in QED. The Fourier transform (FT) of the GPDs gives…

High Energy Physics - Phenomenology · Physics 2015-06-23 Narinder Kumar , Harleen Dahiya

We study the light-unflavored mesons as relativistic bound states in the nonperturbative Hamiltonian formalism of the basis light-front quantization (BLFQ) approach. The dynamics for the valence quarks of these mesons is specified by an…

Nuclear Theory · Physics 2020-12-30 Wenyang Qian , Shaoyang Jia , Yang Li , James P. Vary

The shape of the electron is studied using lowest-order perturbation theory. Quantities used to probe the structure of the proton: form factors, generalized parton distributions, transverse densities, Wigner distributions and the angular…

High Energy Physics - Phenomenology · Physics 2014-12-10 Gerald A. Miller

We study the real-time evolution of an electron influenced by intense electromagnetic fields using the time-dependent basis light-front quantization (tBLFQ) framework. We focus on demonstrating the non-perturbative feature of the tBLFQ…

Nuclear Theory · Physics 2017-06-07 Guangyao Chen , Xingbo Zhao , Yang Li , Kirill Tuchin , James P. Vary

The typical transverse momentum of a quark in the proton is a basic property of any QCD based model of nucleon structure. However, calculations in phenomenological models typically give rather small values of transverse momenta, which are…

High Energy Physics - Phenomenology · Physics 2022-02-01 A. I. Signal , F. G. Cao

We review quark model calculations of the transverse momentum dependent parton distributions (TMDs). For the T-even TMDs, we discuss the physical origin of model relations which hold in a large class of quark models. For the T-odd TMDs we…

High Energy Physics - Phenomenology · Physics 2017-08-23 B. Pasquini , C. Lorce'

The semi-inclusive correlator for a ${\cal J}$=1/2 bound-system, composed by A spin-1/2 fermions, is linearly expressed in terms of the light-front Poincar\'e covariant spin-dependent spectral function, in valence approximation. The…

We employ an effective Hamiltonian that includes the transverse and longitudinal confinement and the one-gluon exchange interaction with fixed coupling constant. By solving the eigenvalue equation in basis light-front quantization (BLFQ),…

High Energy Physics - Phenomenology · Physics 2020-09-07 Siqi Xu , Chandan Mondal , Jiangshan Lan , Xingbo Zhao , Yang Li , James P. Vary

We study the leading-twist time-reversal even transverse momentum dependent parton distribution functions (TMDs) of light and heavy vector mesons, i.e., the $\rho$, $J/\psi$ and $\Upsilon$. We employ the leading Fock-state light front wave…

High Energy Physics - Phenomenology · Physics 2022-08-17 Chao Shi , Jicheng Li , Ming Li , Xurong Chen , Wenbao Jia

We investigate the impact parameter dependent parton distributions for a relativistic composite system in light-front framework. We take an effective two-body spin-1/2 state, namely an electron dressed with a photon in QED. We express the…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Chakrabarti , A. Mukherjee

We produce the light-front wave functions (LFWFs) of the nucleon from a basis light-front ap- proach in the leading Fock sector representation. We solve for the mass eigenstates from a light-front effective Hamiltonian, which includes a…

High Energy Physics - Phenomenology · Physics 2021-12-08 Siqi Xu , Chandan Mondal , Jiangshan Lan , Xingbo Zhao , Yang Li , James P. Vary

We employ Hamiltonian light-front quantum field theory in a basis function approach to solve the non-perturbative problem of an electron in a strong scalar transverse confining potential. We evaluate both the invariant mass spectra and the…

High Energy Physics - Phenomenology · Physics 2011-02-18 H. Honkanen , P. Maris , J. P. Vary , S. J. Brodsky

In this paper, the light-front wave functions (LFWFs) of $\rho$ meson are evaluated in the framework of Nambu--Jona-Lasinio model using the proper time regularization scheme. The transverse momentum dependent parton distributions (TMDs) of…

High Energy Physics - Phenomenology · Physics 2025-01-10 Jin-Li Zhang , Jun Wu

We present a systematic comparison of charmonium light-front wave functions obtained through two complementary non-perturbative approaches: Basis Light-Front Quantization (BLFQ) and Dyson-Schwinger equations (DSE). Key observables include…

High Energy Physics - Phenomenology · Physics 2026-01-27 Xianghui Cao , Yang Li , Chao Shi , James P. Vary , Qun Wang

We present a self-consistent light-front quark model (LFQM) for the kaon based on the Bakamjian--Thomas (BT) construction and apply it to the electromagnetic and scalar form factors, as well as the full set of unpolarized T-even…

High Energy Physics - Phenomenology · Physics 2026-02-26 Yongwoo Choi , Ahmad Jafar Arifi , Ho-Meoyng Choi , Chueng-Ryong Ji

We obtain the light-front wavefunctions for the nucleon in the valence quark Fock space from an effective Hamiltonian, which includes the transverse and longitudinal confinement and the one-gluon exchange interaction with fixed coupling.…

High Energy Physics - Phenomenology · Physics 2021-12-14 Chandan Mondal , Siqi Xu , Jiangshan Lan , Xingbo Zhao , Yang Li , Dipankar Chakrabarti , James P. Vary

The light-front quantization of gauge theories such as QCD in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitarity, and a…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky

Non-perturbative solutions to the quantum-field theory is a topic of current and broad interest, especially for the heavy ion and laser physics communities, since they investigate particle production in the presence of strong external…

High Energy Physics - Phenomenology · Physics 2015-03-17 H. Honkanen