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Related papers: Recent Progress in Basis Light-front Quantization

200 papers

A review is made on some recent studies which support the point of view that the relativistic field theory quantized on the light-front (LF) is more transparent compared to the conventional equal-time one. The discussion may be of relevance…

High Energy Physics - Theory · Physics 2016-08-15 Prem P. Srivastava

We consider the non-relativistic quantum Boltzmann equation for fermions and bosons. Using the nonlinear energy method and mild formulation, we justify the global well-posedness when the density function is near the global Maxwellian and…

Analysis of PDEs · Mathematics 2021-02-09 Zhimeng Ouyang , Lei Wu

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

Light-front wave functions play a fundamental role in the light-front quantization approach to QCD and hadron structure. However, a naive implementation of the light-front quantization suffers from various subtleties including the…

High Energy Physics - Phenomenology · Physics 2022-05-04 Xiangdong Ji , Yizhuang Liu

The method of flow equations is applied to QED on the light front. Requiring that the partical number conserving terms in the Hamiltonian are considered to be diagonal and the other terms off-diagonal an effective Hamiltonian is obtained…

High Energy Physics - Theory · Physics 2009-10-30 E. L. Gubankova , F. Wegner

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 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

We propose a new method for the nonperturbative solution of quantum field theories and illustrate its use in the context of a light-front analog to the Greenberg--Schweber model. The method is based on light-front quantization and uses the…

High Energy Physics - Phenomenology · Physics 2015-05-27 S. S. Chabysheva , J. R. Hiller

The self-field approach to quantum electrodynamics (QED) is used to study the bound state problem in light-front two-dimensional QED with massive matter fields. A composite matter field describing bound states is introduced and the…

High Energy Physics - Theory · Physics 2009-10-31 Fuad M. Saradzhev

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

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

Within the basis light-front quantization framework, we compute the masses and light-front wave functions of the $\Lambda_b$ baryon and its isospin triplet counterparts $\Sigma_b^+$, $\Sigma_b^0$, and $\Sigma_b^-$ using a light-front…

High Energy Physics - Phenomenology · Physics 2025-03-18 Lingdi Meng , Tian-Cai Peng , Zhi Hu , Siqi Xu , Jiangshan Lan , Chandan Mondal , Guo-Li Wang , Xingbo Zhao , James P. Vary

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 (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

We study the light-front covariance of a vector-meson decay constant using a manifestly covariant fermion field theory model in $(3+1)$ dimensions. The light-front zero-mode issues are analyzed in terms of polarization vectors and method of…

High Energy Physics - Phenomenology · Physics 2013-08-22 Ho-Meoyng Choi , Chueng-Ryong Ji

In this article we review the basic formulation of light-front field theory and light-front phenomena in strong interaction. We also explore various approaches to the understanding of these phenomena and the associated problems of hadronic…

High Energy Physics - Phenomenology · Physics 2011-04-15 Wei-Min Zhang

We give an overview of recent progress into the infrared structure of QCD based on the gauge/gravity correspondence and light-front quantization, where the color confining interaction for mesons and baryons is determined by an underlying…

High Energy Physics - Phenomenology · Physics 2020-04-17 Stanley J. Brodsky , Guy F. de Teramond , Hans Gunter Dosch

We extend earlier work on fully symmetric polynomials for three-boson wave functions to arbitrarily many bosons and apply these to a light-front analysis of the low-mass eigenstates of $\phi^4$ theory in 1+1 dimensions. The basis-function…

High Energy Physics - Phenomenology · Physics 2016-05-25 S. S. Chabysheva

We investigate the unequal mass relativistic bound state system, the $B_c$ mesons, in a light-front Hamiltonian formalism. We adopt an effective Hamiltonian based on soft-wall light-front holography, together with a longitudinal confinement…

Nuclear Theory · Physics 2019-01-02 Shuo Tang , Yang Li , Pieter Maris , 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