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Given that the wave function of a proton can be derived relativistically and nonperturbatively from a light-front quantized Hamiltonian, investigating the quantum correlation between quarks and gluons offers a novel perspective on the…

High Energy Physics - Phenomenology · Physics 2024-12-17 Chen Qian , Siqi Xu , Yang-Guang Yang , Xingbo Zhao

We investigate the singly virtual transition form factor (TFF) for the $\pi^0\to\gamma^*\gamma$ process in the space-like region using the hard-scattering formalism within the Basis Light-Front Quantization (BLFQ) framework. This form…

High Energy Physics - Phenomenology · Physics 2024-08-14 Xiaoyi Wu , Zhimin Zhu , Ziyang Lin , Chandan Mondal , Jiangshan Lan , Xingbo Zhao , James P. Vary

We solve for the gluon generalized parton distributions (GPDs) inside the proton, focusing specifically on leading twist chiral-even GPDs. We obtain and employ the light-front wavefunctions (LFWFs) of the proton from a light-front quantized…

High Energy Physics - Phenomenology · Physics 2023-08-17 Bolang Lin , Sreeraj Nair , Siqi Xu , Zhi Hu , Chandan Mondal , Xingbo Zhao , James P. Vary

The light-front wave functions of hadrons allow us to calculate a wide range of physical observables; however, the wave functions themselves cannot be measured. We discuss recent results for quarkonia obtained in basis light-front…

Nuclear Theory · Physics 2020-11-03 Pieter Maris , Shaoyang Jia , Meijian Li , Yang Li , Shuo Tang , James P. Vary

The analogy between quantum chemistry and light-front quantum field theory, first noted by Kenneth G. Wilson, serves as motivation to develop light-front quantum simulation of quantum field theory. We demonstrate how calculations of hadron…

We investigate the twist-3 generalized parton distributions (GPDs) for the valence quarks of the proton within the basis light-front quantization (BLFQ) framework. We first solve for the mass spectra and light-front waved functions (LFWFs)…

High Energy Physics - Theory · Physics 2026-01-13 Ziqi Zhang , Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

We study heavy quarkonium within the light-front Hamiltonian formalism. Our effective Hamiltonian is based on the holographic QCD confining potential and the one-gluon exchange interaction with a running coupling. The obtained spectra are…

Nuclear Theory · Physics 2017-09-13 Yang Li

We apply the Basis Light-Front Quantization (BLFQ) approach to the Hamiltonian field theory of Quantum Electrodynamics (QED) in free space. We solve for the mass eigenstates corresponding to an electron interacting with a single photon in…

High Energy Physics - Phenomenology · Physics 2015-05-30 Xingbo Zhao , Heli Honkanen , Pieter Maris , James P. Vary , Stanley J. Brodsky

We investigate the structure of charmonium, bottomonium, and $\rm B_c$ meson systems within the Basis Light-Front Quantization (BLFQ) approach, including both the quark-antiquark ($|q\bar{q}\rangle$) and quark-antiquark-gluon…

High Energy Physics - Phenomenology · Physics 2026-03-10 Jiatong Wu , Hengfei Zhao , Kaiyu Fu , Zhi Hu , Xingbo Zhao , James P. Vary

Within light-front quantization, hadrons can be represented on a Fock-space basis of configurations of elementary partons. The coefficients of the expansion are called light-front wave functions (LFWFs), and encode all the dynamical degrees…

High Energy Physics - Phenomenology · Physics 2026-03-10 S. Rodini , A. Schiavi , B. Pasquini

We develop a mechanism to build the light-front wavefunctions (LFWFs) of meson bound states on a small-sized basis function representation. Unlike in a standard Hamiltonian formalism, the Hamiltonian in this method is implicit, and the…

High Energy Physics - Phenomenology · Physics 2022-11-30 Meijian Li , Yang Li , Guangyao Chen , Tuomas Lappi , James P. Vary

Nucleon and pion electromagnetic form factors are evaluated in the spacelike region within a light-front constituent quark model, where eigenfunctions of a mass operator, reproducing a large set of hadron energy levels, are adopted and…

Nuclear Theory · Physics 2009-10-28 F. Cardarelli , E. Pace , G. Salme' , S. Simula

Basis Light-Front Quantized Field Theory (BLFQ) is an $\textit{ab intio}$ Hamiltonian approach that adopts light-cone gauge, light-front quantization and state-of-the-art many-body methods to solve non-perturbative quantum field theory…

Nuclear Theory · Physics 2014-03-20 Yang Li , Paul W. Wiecki , Xingbo Zhao , Pieter Maris , James P. Vary

We investigate the structure of the light meson with one dynamical gluon from the light-front QCD Hamiltonian, determined for their constituent quark-antiquark and quark-antiquark-gluon Fock sectors, together with a three-dimensional…

High Energy Physics - Phenomenology · Physics 2022-01-19 Jiangshan Lan , Kaiyu Fu , Chandan Mondal , Xingbo Zhao , James P. Vary

Light-front Fock state wavefunctions encode the bound state properties of hadrons in terms of their quark and gluon degrees of freedom at the amplitude level. The freedom to choose the light-like quantization four-vector provides an…

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

The QCD light-front (LF) Hamiltonian equation H_{LF}|\Psi> = M^2 |\Psi> derived from quantization at fixed LF time \tau = t+z/c provides a causal, frame-independent, method for computing hadron spectroscopy as well as dynamical observables…

High Energy Physics - Phenomenology · Physics 2020-08-26 Stanley J. Brodsky , Alexandre Deur

An introductory overview on Light-Front quantization, with some emphasis on recent achievements, is given. Light-Front quantization is the most promising and physical tool to study deep inelastic scattering on the basis of quark gluon…

High Energy Physics - Phenomenology · Physics 2014-11-17 Matthias Burkardt

We present the first application of the Basis Light-Front Quantization method to study a simple chiral model of the nucleon-pion system via an ab initio, non-perturbative, Hamiltonian approach. As a test problem, we consider the physical…

Nuclear Theory · Physics 2019-08-09 Weijie Du , Yang Li , Xingbo Zhao , James P. Vary

We compute the gravitational form factors (GFFs) of the pion and kaon using their light-front wave functions within the Basis Light-Front Quantization framework. The wave functions are obtained by solving a light-front effective Hamiltonian…

High Energy Physics - Phenomenology · Physics 2026-05-19 Amrita Sain , Sreeraj Nair , Chandan Mondal , Xingbo Zhao , James P. Vary

We obtain all the leading-twist quark generalized parton distributions (GPDs) inside the proton at nonzero skewness within the basis light-front quantization framework. We employ the light-front wave functions of the proton from a…

High Energy Physics - Phenomenology · Physics 2024-03-12 Yiping Liu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary