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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

Some basic topics in the light-front (LF) quantization of relativistic field theory are reviewed. It is argued that the LF quantization is equally appropriate as the conventional one and that they lead, assuming the micro- causality…

High Energy Physics - Phenomenology · Physics 2007-05-23 Prem P. Srivastava

We introduce a nonperturbative, first principles numerical approach for solving time-dependent problems in quantum field theory, using light-front quantization. As a first application we consider QED in a strong background field, and the…

Nuclear Theory · Physics 2013-09-19 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary

Quantum Chromodynamics and Quantum Electrodynamics, both renormalizable quantum field theories with a small number of precisely constrained input parameters, dominate the dynamics of the quarks and gluons - the underlying building blocks of…

Nuclear Theory · Physics 2015-10-08 Martin J. Savage

A calculational framework for determining masses of low lying hadrons using light front quantization is discussed. The method is based upon four theoretical tools: discrete light cone quantization, which has been very successful in 1+1…

High Energy Physics - Theory · Physics 2007-05-23 Paul A. Griffin

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

Fundamental aspects of nonperturbative QCD dynamics which are not obvious from its classical Lagrangian, such as the emergence of a mass scale and confinement, the existence of a zero mass bound state, the appearance of universal Regge…

High Energy Physics - Phenomenology · Physics 2017-04-05 Guy F. de Teramond , Stanley J. Brodsky , Alexandre Deur , Hans Gunter Dosch , Raza Sabbir Sufian

Even though quantum chromodynamics is a broken conformal theory, the AdS/CFT correspondence has led to important insights into the properties of QCD. For example, as shown by Polchinski and Strassler, dimensional counting rules for the…

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

We find a correspondence between semiclassical gauge theories quantized on the light-front and a dual gravity model in anti-de Sitter (AdS) space, thus providing an initial approximation to QCD in its strongly coupled regime. This…

High Energy Physics - Phenomenology · Physics 2011-03-10 Guy F. de Teramond , Stanley J. Brodsky

The valence Fock-state wavefunctions of the light-front QCD Hamiltonian satisfy a relativistic equation of motion with an effective confining potential $U$ which systematically incorporates the effects of higher quark and gluon Fock states.…

High Energy Physics - Phenomenology · Physics 2015-06-23 Stanley J. Brodsky , Guy F. de Téramond , Alexandre Deur , Hans Günter Dosch

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

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 review the fundamental ideas of quantizing a theory on a Light Front including the Hamiltonian approach to the problem of bound states on the Light Front and the limiting transition from formulating a theory in Lorentzian coordinates…

High Energy Physics - Theory · Physics 2009-11-11 E. -M. Ilgenfritz , S. A. Paston , H. -J. Pirner , E. V. Prokhvatilov , V. A. Franke

The analogy between quantum chemistry and light-front quantum field theory, first noted by Kenneth G. Wilson, serves as motivation to develop light-front quantum simulation of quantum field theory. We demonstrate how calculations of hadron…

The complex nonperturbative color-confining dynamics of QCD is well captured in a semiclassical effective theory based on superconformal quantum mechanics and its extension to the light-front. I describe here how this new approach to hadron…

High Energy Physics - Theory · Physics 2016-03-23 Guy F. de Teramond

Light-Front Holography is a remarkable consequence of the correspondence between string theory in AdS space and conformal field theories in physical-space time. It allows string modes $\Phi(z)$ in the AdS fifth dimension to be precisely…

High Energy Physics - Phenomenology · Physics 2008-04-24 Stanley J. Brodsky , Guy F. de Teramond

We identify an invariant light-front coordinate $\zeta$ which allows the separation of the dynamics of quark and gluon binding from the kinematics of constituent spin and internal orbital angular momentum. The result is a single-variable…

High Energy Physics - Phenomenology · Physics 2008-10-13 Stanley J. Brodsky , Guy F. de Teramond

AdS/QCD, the correspondence between theories in a modified five-dimensional anti-de Sitter space and confining field theories in physical space-time, provides a remarkable semiclassical model for hadron physics. Light-front holography…

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

We consider adjoint scalar matter coupled to QCD(1+1) in light-cone quantization on a finite `interval' with periodic boundary conditions. We work with the gauge group SU(2) which is modified to ${\rm{SU(2)/Z_2}}$ by the non-trivial…

High Energy Physics - Theory · Physics 2009-10-28 S. S. Pinsky , A. C. Kalloniatis

Starting from the Hamiltonian equation of motion in QCD, we identify an invariant light-front coordinate $\zeta$ which allows the separation of the dynamics of quark and gluon binding from the kinematics of constituent spin and internal…

High Energy Physics - Phenomenology · Physics 2009-02-27 Guy F. de Teramond , Stanley J. Brodsky
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