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Basis Light-front Quantization (BLFQ) is a nonperturbative approach to quantum field theory. In this paper, we report our recent progress in applying BLFQ to the positronium system in QED and to the meson and the baryon system in QCD. We…

Nuclear Theory · Physics 2020-04-07 Xingbo Zhao , Kaiyu Fu , Hengfei Zhao , Jiangshan Lan , Chandan Mondal , Siqi Xu , James P. Vary

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

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

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 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

We study the heavy quarkonium within the basis light-front quantization approach. We implement the one-gluon exchange interaction and a confining potential inspired by light-front holography. We adopt the holographic light-front…

High Energy Physics - Phenomenology · Physics 2016-05-12 Yang Li , Pieter Maris , Xingbo Zhao , James P. Vary

We apply the basis light front quantization (BLFQ) approach to describe the valence structures of the charged light meson ground states. Specifically, the light front wavefunctions of $\pi^\pm$, $\rho^\pm$, $K^\pm$, and $K^{*\pm}$ are…

Nuclear Theory · Physics 2019-03-27 Shaoyang Jia , James P. Vary

We investigate the leading-twist transverse momentum-dependent distribution functions (TMDs) for a physical electron, a spin-1/2 composite system consisting of a bare electron and a photon, using the Basis Light-front Quantization (BLFQ)…

High Energy Physics - Phenomenology · Physics 2021-02-10 Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

In this work we compare mass spectra and decay constants obtained from two recent, independent, and fully relativistic approaches to the quarkonium bound-state problem: the Hamiltonian basis light-front quantization (BLFQ) approach, where…

High Energy Physics - Phenomenology · Physics 2017-11-22 Sofia Leitão , Yang Li , Pieter Maris , M. T. Peña , Alfred Stadler , James P. Vary , Elmar P. Biernat

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

In this paper, we evaluate the electromagnetic and gravitational form factors as well as the corresponding generalized parton distributions of the electron using the Basis Light-front Quantization approach to QED. We compare our results…

High Energy Physics - Phenomenology · Physics 2024-05-28 Lingdi Meng , Shuo Tang , Zhi Hu , Guo-Li Wang , Yang Li , Xingbo Zhao , James P. Vary

We investigate the properties of charmonium systems in strong external magnetic fields using a relativistic light-front Hamiltonian approach within the Basis Light-Front Quantization (BLFQ) framework. By solving the eigenvalue problem for…

High Energy Physics - Phenomenology · Physics 2025-07-11 Liuyuan Wen , Meijian Li , Yiyu Zhou , Yang Li , James P. Vary

Using the charmonium light-front wavefunctions obtained by diagonalizing an effective Hamiltonian with the one-gluon exchange interaction and a confining potential inspired by light-front holography in the basis light-front quantization…

Nuclear Theory · Physics 2017-04-25 Guangyao Chen , Yang Li , Pieter Maris , Kirill Tuchin , James P. Vary

We present the first application of the recently developed Basis Light-Front Quantization (BLFQ) method to self-bound systems in quantum field theory, using the positronium system as a test case. Within the BLFQ framework, we develop a…

Nuclear Theory · Physics 2015-06-26 Paul Wiecki , Yang Li , Xingbo Zhao , Pieter Maris , James P. Vary

Light-Front Quantization -- Dirac's "Front Form" -- provides a physical, frame-independent formalism for hadron dynamics and structure. Observables such as structure functions, transverse momentum distributions, and distribution amplitudes…

High Energy Physics - Phenomenology · Physics 2015-12-22 Stanley J. Brodsky

Light-Front Hamiltonian theory provides a rigorous frame-independent framework for solving nonperturbative QCD. The valence Fock-state wavefunctions of the light-front QCD Hamiltonian satisfy a single-variable relativistic equation of…

High Energy Physics - Phenomenology · Physics 2015-06-17 Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

Dynamical chiral symmetry breaking in the DLCQ method is investigated in detail using a chiral Yukawa model closely related to the Nambu-Jona-Lasinio model. By classically solving three constraints characteristic of the light-front…

High Energy Physics - Theory · Physics 2009-10-31 K. Itakura , S. Maedan

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

A complementary approach, derived from (a) higher dimensional anti--de Sitter (AdS) space, (b) light-front quantization and (c) the invariance properties of the full conformal group in one dimension leads to a nonperturbative relativistic…

High Energy Physics - Theory · Physics 2015-06-15 Stanley J. Brodsky , Guy F. de Teramond , Hans Gunter Dosch

We investigate the two-photon transitions $H_{c\bar c} \to \gamma^*\gamma$ of the charmonium system in light-front dynamics. The light-front wave functions were obtained from solving the effective Hamiltonian based on light-front holography…

High Energy Physics - Phenomenology · Physics 2022-04-25 Yang Li , Meijian Li , James P. Vary
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