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Light-front formulations of quantum field theories have many advantages for computing electroweak matrix elements of strongly interacting systems and other quantities that are used to study hadronic structure. The theory can be formulated…

High Energy Physics - Phenomenology · Physics 2023-04-14 Wayne Polyzou

Electromagnetism is at the heart of the Standard Model, but despite all the successes of modern theory, our basic description of light traveling in free space remains unsatisfactory. The four bosons that compose light are introduced in a…

General Physics · Physics 2025-10-17 Eddy Collin

The light-front dynamics (LFD) of the scalar field model theory is analyzed to solve the two-body bound-state problem. The light-front two-body bound-state equation is extended to the full LFD kernel including the ladder, cross-ladder,…

Nuclear Theory · Physics 2015-06-05 Chueng-Ryong Ji , Yukihisa Tokunaga

Within the framework of the covariant formulation of light-front dynamics, we develop a general non-perturbative renormalization scheme based on the Fock decomposition of the state vector and its truncation. The counterterms and bare…

High Energy Physics - Theory · Physics 2008-11-26 V. A. Karmanov , J. -F. Mathiot , A. V. Smirnov

The light-front quantization of QCD provides an alternative to lattice gauge theory for computing the mass spectrum, scattering amplitudes, and other physical properties of hadrons directly in Minkowski space. Nonperturbative light-front…

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

Two topics are presented. The first one is a novel approach for a Poincare' covariant description of nuclear dynamics based on light-front Hamiltonian dynamics. The key quantity is the light-front spectral function, where both normalization…

We show that the light-front vaccum is not trivial, and the Fock space for positive energy quanta solutions is not complete. As an example of this non triviality we have calculated the electromagnetic current for scalar bosons in the…

High Energy Physics - Theory · Physics 2009-08-03 J. H. O. Sales , A. T. Suzuki

We investigate in a model with scalar ``nucleons'' and mesons the contributions of higher Fock states that are neglected in the ladder approximation of the Lippmann-Schwinger equation. This leads to a breaking of covariance, both in…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. C. J. Schoonderwoerd , B. L. G. Bakker , V. A. Karmanov

A formally exact discrete multi-resolution representation of quantum field theory on a light front is presented. The formulation uses an orthonormal basis of compactly supported wavelets to expand the fields restricted to a light front. The…

High Energy Physics - Theory · Physics 2020-05-20 W. N. Polyzou

We consider the three fundamental one loop Feynman diagrams of QED viz. vertex correction, fermion self-energy and vacuum polarization in the light-front gauge and discuss the equivalence of their standard covariant expressions with the…

High Energy Physics - Theory · Physics 2022-03-29 Deepesh Bhamre , Anuradha Misra

In the light front quantisation scheme initial conditions are usually provided on a single lightlike hyperplane. This, however, is insufficient to yield a unique solution of the field equations. We investigate under which additional…

High Energy Physics - Theory · Physics 2009-10-22 T. Heinzl , E. Werner

We study the form factors of vector mesons using a covariant fermion field theory model in $(3+1)$ dimensions. Performing a light-front calculation in the $q^+ =0$ frame in parallel with a manifestly covariant calculation, we note the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bernard L. G. Bakker , Ho-Meoyng Choi , Chueng-Ryong Ji

Light-front wavefunctions provide a frame-independent representation of hadrons in terms of their physical quark and gluon degrees of freedom. The light-front Hamiltonian formalism provides new nonperturbative methods for obtaining the QCD…

High Energy Physics - Theory · Physics 2017-08-23 S. J. Brodsky

We report here the status of different gauge conditions in the canonical formulation of quantum electrodynamics on light-front surfaces. We start with the massive vector fields as pedagogical models where all basic concepts and possible…

High Energy Physics - Theory · Physics 2007-05-23 Jerzy A. Przeszowski

Light-Front quantization is one of the most promising and physical tools towards studying deep inelastic scattering on the basis of quark gluon degrees of freedom. The simplified vacuum structure (nontrivial vacuum effects can only appear…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Burkardt

We compute the gravitational form factors $A_i$, $D_i$ and $\bar c_i$ of the scalar Yukawa theory using both the light-cone and covariant perturbation theory at the one-loop level. The light-cone formalism provides a potential approach to…

High Energy Physics - Phenomenology · Physics 2024-07-12 Xianghui Cao , Siqi Xu , Yang Li , Guangyao Chen , Xingbo Zhao , Vladimir A. Karmanov , James P. Vary

We present a general framework to study relativistic compound systems in a Hamiltonian formalism. This formalism is based on the explicitly covariant formulation of light-front dynamics, with a decomposition of the state vector in Fock…

High Energy Physics - Theory · Physics 2010-11-03 Jean-Francois Mathiot

A natural calculus for describing the bound-state structure of relativistic composite systems in quantum field theory is the light-front Fock expansion which encodes the properties of a hadrons in terms of a set of frame-independent…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky

The light-front Hamiltonian formulation for the scalar field theory contains a new ingredient in the form of a constraint equation. Renormalization of the two dimensional $\phi^{4}$ theory, described in the continuum, is discussed. The mass…

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

We present the main features of the explicitly covariant Light-Front Dynamics formalism and a summary of our recent works on this topic. They concern the bound states of two scalar particles in the Wick-Cutkosky model and of two fermions…

Nuclear Theory · Physics 2007-05-23 J. Carbonell , M. Mangin-Brinet , V. A. Karmanov