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Extending the concepts of light-front field theory to quantum statistics provides a novel approach towards nuclear matter under extreme conditions. Such conditions exist, e.g., in neutron stars or in the early stage of our universe. They…

Nuclear Theory · Physics 2009-11-10 Michael Beyer

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

High Energy Physics - Theory · Physics 2011-09-13 Hans-Christian Pauli

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

Light-cone quantization of gauge theories is discussed from two perspectives: as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and as a novel method for simulating quantum field theory…

High Energy Physics - Phenomenology · Physics 2010-12-13 Hans-Christian Pauli

Light-front coordinates offer a scenario in which a constituent approximation of hadron structure can emerge from QCD. This requires cutoffs that violate Lorentz covariance and gauge invariance, and a new renormalization group formalism…

High Energy Physics - Theory · Physics 2007-05-23 Robert J. Perry

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

Starting from the Hamiltonian equation of motion in QCD we find a single variable light-front equation for QCD which determines the eigenspectrum and the light-front wavefunctions of hadrons for general spin and orbital angular momentum.…

High Energy Physics - Phenomenology · Physics 2009-09-11 Guy F. de Teramond , Stanley J. Brodsky

Starting from the bound state Hamiltonian equation of motion in QCD, we derive relativistic light-front wave equations in terms of an invariant impact variable $\zeta$ which measures the separation of the quark and gluonic constituents…

High Energy Physics - Phenomenology · Physics 2014-11-20 Guy F. de Teramond , Stanley J. Brodsky

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

Quantum Chromodynamics (QCD) exhibits complementary descriptions of hadrons: a rest-frame picture based on confinement, chiral symmetry breaking and interquark forces, and a high-energy light-front picture expressed through parton…

High Energy Physics - Phenomenology · Physics 2026-01-22 Edward Shuryak , Ismail Zahed

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

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

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

Heisenberg's matrix formulation of quantum mechanics can be generalized to relativistic systems by evolving in light-front time tau = t+z/c. The spectrum and wavefunctions of bound states, such as hadrons in quantum chromodynamics, can be…

High Energy Physics - Theory · Physics 2015-06-26 Stanley J. Brodsky

QCD is not supersymmetrical in the traditional sense -- the QCD Lagrangian is based on quark and gluonic fields, not squarks nor gluinos. However, its hadronic eigensolutions conform to a representation of superconformal algebra, reflecting…

High Energy Physics - Phenomenology · Physics 2018-07-04 Stanley J. Brodsky

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 develop a new systematic approach to quantum field theory that is designed to lead to physical states that rapidly converge in an expansion in free-particle Fock-space sectors. To make this possible, we use light-front field theory to…

High Energy Physics - Theory · Physics 2009-09-25 Brent H. Allen

Recently, we have introduced a unified theory to deal with perturbative and non-perturbative QCD contributions to hadronic structure functions in deep inelastic scattering. This formulation is realized by combining the coordinate space…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. Harindranath , Rajen Kundu , Wei-Min Zhang

I discuss several theoretical tools which are useful for analyzing perturbative and non-perturbative problems in quantum chromodynamics, including (a) the light-cone Fock expansion, (b) the effective charge $\alpha_V$, (c) conformal…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stanley J. Brodsky

We solve the nucleon's wave functions from the eigenstates of the light-front quantum chromodynamics Hamiltonian for the first time, using a fully relativistic and nonperturbative approach based on light-front quantization, without an…

High Energy Physics - Phenomenology · Physics 2024-08-22 Siqi Xu , Yiping Liu , Chandan Mondal , Jiangshan Lan , Xingbo Zhao , Yang Li , James P. Vary