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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 develop a numerical method to nonperturbatively study scattering and gluon emission of a quark from a colored target using a light-front Hamiltonian approach. The target is described as a classical color field, as in the Color Glass…

High Energy Physics - Phenomenology · Physics 2021-11-16 Meijian Li , Tuomas Lappi , Xingbo Zhao

We report on recent improvements to our non-perturbative calculation of the positronium spectrum. Our Hamiltonian is a two-body effective interaction which incorporates one-photon exchange terms, but neglects fermion self-energy effects.…

Nuclear Theory · Physics 2015-06-23 Paul Wiecki , Yang Li , Xingbo Zhao , Pieter Maris , James P. Vary

The correspondence between theories in anti-de Sitter space and conformal field theories in physical space-time leads to an analytic, semiclassical model for strongly-coupled QCD. Light-front holography allows hadronic amplitudes in the AdS…

High Energy Physics - Phenomenology · Physics 2009-04-24 Stanley J. Brodsky , Guy F. de Teramond

Front form dynamics is not a manifestly rotational invariant formalism. In particular, the requirement of an invariance under rotations around the transverse axes is difficult to fulfill.In the present work it is investigated, to which…

High Energy Physics - Theory · Physics 2009-09-25 Uwe Trittmann , Hans-Christian Pauli

These lecture notes review the foundations and some applications of light-cone quantization. First I explain how to choose a time in special relativity. Inclusion of Poincare invariance naturally leads to Dirac's forms of relativistic…

High Energy Physics - Theory · Physics 2007-05-23 T. Heinzl

We present an update on the meson mass spectra calculation with the light-front quark model constrained by the variational principle for the QCD-motivated effective Hamiltonian. By smearing out the Dirac delta function in the hyperfine…

High Energy Physics - Phenomenology · Physics 2015-10-20 Ho-Meoyng Choi , Chueng-Ryong Ji , Ziyue Li

In this series of lectures, I shall begin with the current investigations on phenomenology of hadron dynamics to demonstrate the importance of solving hadronic bound states within the framework of light-front (LF) QCD. Then, I will describe…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wei-Min Zhang

The symmetric heavy-light ansatz is a method for finding the ground state of any dilute unpolarized system of attractive two-component fermions. Operationally it can be viewed as a generalization of the Kohn-Sham equations in density…

Superconductivity · Physics 2010-02-11 Dean Lee

We present a calculation of the mass spectrum of positronium within the framework of the recently developed Basis Light-Front Quantization approach to non-perturbative quantum field theory. In this calculation, we employ a two-body…

Nuclear Theory · Physics 2013-11-13 Paul W. Wiecki , Yang Li , Xingbo Zhao , Pieter Maris , James P. Vary

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

Light-front dynamics (LFD) is a powerful approach to the theory of relativistic composite systems (hadrons in the quark models and relativistic nucleons in nuclei). Its explicitly covariant version has been recently applied with success to…

High Energy Physics - Theory · Physics 2010-11-19 V. A. Karmanov , M. Mangin-Brinet , J. Carbonell

This dissertation presents the first theoretical investigation of the Lamb shift in a light-front hamiltonian approach: the dominant part of the splitting between the 2S(1/2) and 2P(1/2) energy levels in hydrogen is calculated. Also…

High Energy Physics - Phenomenology · Physics 2009-09-25 Billy D. Jones

The method of flow equations is applied to QED on the light front. Requiring that the particle 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 2007-05-23 Elena Gubankova

We investigate an approach for studying the ground state of a quantum many-body Hamiltonian that is based on treating the correlation functions as variational parameters. In this approach, the challenge set by the exponentially-large…

Strongly Correlated Electrons · Physics 2020-01-22 Arbel Haim , Richard Kueng , Gil Refael

We calculate a renormalized Hamiltonian for pure-glue QCD and diagonalize it. The renormalization procedure is designed to produce a Hamiltonian that will yield physical states that rapidly converge in an expansion in free-particle…

High Energy Physics - Theory · Physics 2009-10-31 Brent H. Allen , Robert J. Perry

A boost-invariant light-front Hamiltonian formulation of canonical quantum chromodynamics provides a heuristic picture of the binding mechanism for effective heavy quarks and gluons.

High Energy Physics - Theory · Physics 2009-11-11 Stanislaw D. Glazek

A matrix Hamiltonian model is developed to address the finite-volume effects appearing in studies of baryon resonances in lattice QCD. The Hamiltonian model includes interaction terms in a transparent way, and can be readily generalized to…

High Energy Physics - Lattice · Physics 2014-11-21 J. M. M. Hall , A. C. -P. Hsu , D. B. Leinweber , A. W. Thomas , R. D. Young

The light-front (LF) quantization of QCD in light-cone (l.c.) gauge is discussed. The Dirac method is employed to construct the LF Hamiltonian and theory quantized canonically. The Dyson-Wick perturbation theory expansion based on LF-time…

High Energy Physics - Phenomenology · Physics 2017-08-23 Prem P. Srivastava , Stanley J. Brodsky

We explain what is the challenge of light-front quantisation, and how we can now answer it because of recent progress in solving the problem of zero modes in the case of non-Abelian gauge theories. We also give a description of the…

High Energy Physics - Theory · Physics 2007-05-23 Victor T. Kim , Victor A. Matveev , Grigorii B. Pivovarov , James P. Vary