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The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions is mapped non-perturbatively on an effective Hamiltonian which acts only in the Fock space of a quark and an antiquark. Emphasis is put on dealing…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans-Christian Pauli

We study the Wigner distributions of quarks and gluons in light-front dressed quark model using the overlap of light front wave functions (LFWFs). We take the target to be a dressed quark, this is a composite spin $-1/2$ state of quark…

High Energy Physics - Phenomenology · Physics 2018-04-04 Jai More , Asmita Mukherjee , Sreeraj Nair

A light-front Hamiltonian reproducing the results of two-dimensional quantum electrodynamics in the Lorentz coordinates is constructed using the bosonization procedure and an analysis of the bosonic perturbation theory in all orders in the…

High Energy Physics - Theory · Physics 2007-05-23 S. A. Paston , E. V. Prokhvatilov , V. A. Franke

We obtain the leading-twist valence quark transverse-momentum-dependent parton distribution functions (TMD PDFs) for the proton within the basis light-front quantization (BLFQ) framework. Our results are consistent with lattice QCD…

High Energy Physics - Phenomenology · Physics 2022-08-22 Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

We developed a model for the pion light-front wave function (LFWF) that incorporates valence, sea and gluon degrees of freedom. Using the LFWF overlap representation, we derived parametrizations for the pion parton distribution functions…

High Energy Physics - Phenomenology · Physics 2023-07-21 Simone Venturini , Barbara Pasquini , Simone Rodini

We develop a light-front Hamiltonian formalism to study the real-time quantum evolution of a high-energy quark propagating through the Glasma phase of a heavy-ion collision. In this work, the quark Fock space is truncated to the $\ket{q}$…

High Energy Physics - Phenomenology · Physics 2026-05-12 Dana Avramescu , Carlos Lamas , Tuomas Lappi , Meijian Li , Carlos A. Salgado

We compute the generalized parton distributions (GPDs) of valence quarks, sea quarks, and gluons in the proton using light-front wave functions obtained within the basis light-front quantization (BLFQ) framework, providing a realistic…

High Energy Physics - Phenomenology · Physics 2026-04-21 Yiping Liu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

We present a quantum algorithm for simulation of quantum field theory in the light-front formulation and demonstrate how existing quantum devices can be used to study the structure of bound states in relativistic nuclear physics.…

Nucleon form factors are evaluated in the spacelike region in a light-front framework. Our phenomenological model is based on a relativistic formulation of the Hamiltonian dynamics. The baryon dynamics is solved in the CMS with relativistic…

Nuclear Theory · Physics 2012-08-27 L. Prado,

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

Light-Front Hamiltonian theory, derived from the quantization of the QCD Lagrangian at fixed light-front time \tau = t+z/c, provides a rigorous frame-independent framework for solving nonperturbative QCD. The eigenvalues of the light-front…

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

Light-cone Fock-state wavefunctions encode the properties of a hadron in terms of its fundamental quark and gluon degrees of freedom. A recent experiment at Fermilab, E791, demonstrates that the color coherence and shape of light-cone…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stanley J. Brodsky

Hamiltonian light-front quantum field theory constitutes a framework for the non-perturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing the light-front gauge and adopting a basis…

We propose a method to calculate the $q\bar{q}$ light front wave functions (LFWFs) of photon at low-virtuality, i.e., the light front amplitude of $\gamma^*\rightarrow q\bar{q}$ at low $Q^2$, based on a light front projection approach. We…

High Energy Physics - Phenomenology · Physics 2023-10-31 Chao Shi , Zhongtian Yang , Xurong Chen , Wenbao Jia , Cuibai Luo , Wenchang Xiang

The gauge invariant formulation of Maxwell's equations and the electromagnetic duality transformations are given in the light-front (LF) variables. The novel formulation of the LF canonical quantization, which is based on the kinematic…

High Energy Physics - Theory · Physics 2009-11-11 Jerzy A. Przeszowski

Applications of relativistic light front dynamics to computing wave functions of heavy nuclei are reviewed. The motivation for this is the desire to find wave functions, expressed in terms of the plus-momentum variable, that simplify the…

Nuclear Theory · Physics 2011-08-11 Gerald A. Miller

Gluon transverse-momentum dependent distributions (TMDs) are very important for revealing the internal structure of the proton. They correspond to a variety of experiments and are among the major tasks of the future electron-ion colliders.…

High Energy Physics - Phenomenology · Physics 2024-03-12 Hongyao Yu , Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

A relativistic light front treatment of nuclei is developed by performing light front quantization for a chiral Lagrangian. The energy momentum tensor and the appropriate Hamiltonian are obtained. Three illustrations of the formalism are…

Nuclear Theory · Physics 2008-11-26 Gerald A. Miller

We study the analytic structure of light-front wave functions (LFWFs) and its consequences for hadron form factors using an explicitly Lorentz-invariant formulation of the front form. The normal to the light front is specified by a general…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , J. R. Hiller , D. S. Hwang , V. A. Karmanov

The light-front (LF) canonical quantization of quantum chromodynamics in covariant gauge is discussed. The Dirac procedure is used to eliminate the constraints in the gauge-fixed front form theory quantum action and to construct the LF…

High Energy Physics - Phenomenology · Physics 2009-09-11 Prem P. Srivastava , Stanley J. Brodsky