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I give a quantum theoretical description of kinematically invariant vacuua on the algebra of free fields restricted to a light front and discuss the relation between the light-front Hamiltonian, P-, the vacuum, and Poincare invariance. This…

Nuclear Theory · Physics 2009-11-10 W. N. Polyzou

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

Light-front quantization has important advantages for describing relativistic statistical systems, particularly systems for which boost invariance is essential, such as the fireball created in a heavy ion collisions. In this paper we…

High Energy Physics - Theory · Physics 2009-09-11 J. Raufeisen , S. J. Brodsky

In the Light-Front Dynamics, the wave function equations and their numerical solutions, for two fermion bound systems, are presented. Analytical expressions for the ladder one-boson exchange interaction kernels corresponding to scalar,…

High Energy Physics - Theory · Physics 2011-07-19 M. Mangin-Brinet , J. Carbonell , V. A. Karmanov

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 present the first systematic investigation of the Lorentz covariance of the charge form factor for a strongly coupled scalar theory in (3+1)-dimensions. Our results are based on the first non-perturbative solution of the scalar Yukawa…

High Energy Physics - Phenomenology · Physics 2025-07-22 Wenyu Zhang , Yang Li , James P. Vary

Background: The vacuum in the light-front representation of quantum field theory is trivial while vacuum in the equivalent canonical representation of the same theory is non-trivial. Purpose: Understand the relation between the vacuum in…

High Energy Physics - Theory · Physics 2015-05-06 Marc Herrmann , Wayne Polyzou

We review the foundations as well as a number of important applications of light-cone dynamics. Topics covered are: relativistic particle dynamics, reparametrization invariance, Dirac's front form, light-cone quantization of fields via…

High Energy Physics - Theory · Physics 2007-05-23 Thomas Heinzl

Poincare' covariant definitions for the spin-dependent spectral function and for the momentum distributions within the light-front Hamiltonian dynamics are proposed for a three-fermion bound system, starting from the light-front wave…

Nuclear Theory · Physics 2017-02-01 Alessio Del Dotto , Emanuele Pace , Giovanni Salmè , Sergio Scopetta

We present a general framework to calculate the properties of relativistic compound systems from the knowledge of an elementary Hamiltonian. Our framework provides a well-controlled nonperturbative calculational scheme which can be…

High Energy Physics - Theory · Physics 2011-03-07 J. -F. Mathiot , A. V. Smirnov , N. A. Tsirova , V. A. Karmanov

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

The formulation of statistical physics using light-front quantization, instead of conventional equal-time boundary conditions, has important advantages for describing relativistic statistical systems, such as heavy ion collisions. We…

High Energy Physics - Theory · Physics 2014-11-18 J. Raufeisen , S. J. Brodsky

We present a coherent and operational strategy to calculate, in a nonperturbative way, physical observables in light-front dynamics. This strategy is based on the decomposition of the state vector of any compound system in Fock components,…

High Energy Physics - Theory · Physics 2015-06-04 V. A. Karmanov , J. -F. Mathiot , A. V. Smirnov

This is mainly a lecture note taken by myself following Weinberg's book, but also contains some corrections to the abuse of mathematical treatment. This article discusses projective unitary representations of Poincare group on the single…

Mathematical Physics · Physics 2023-02-28 Zixuan Feng

The light-front dynamics is an efficient approach to study of field theory and of relativistic composite systems (nuclei at relativistic relative nucleon momenta, hadrons in the quark models). The explicitly covariant version of this…

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

The scattering equivalence of quantum field theories formulated with light-front and instant-form kinematic subgroups is established using non-perturbative methods. The difficulty with field theoretic formulations of Dirac's forms of…

High Energy Physics - Theory · Physics 2021-05-26 Wayne Polyzou

Some basic topics in Light-Front (LF) quantized field theory are reviewed. Poincar\`e algebra and the LF Spin operator are discussed. The local scalar field theory of the conventional framework is shown to correspond to a non-local…

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

Recent results on relativistic few body systems, obtained in the framework of light-front dynamics, are briefly reviewed. The following subjects are discussed: two scalar bosons with ladder and cross ladder kernel; two fermions with OBE…

Nuclear Theory · Physics 2009-11-10 V. A. Karmanov

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 discuss the equivalence of the standard covariant expressions and light-front expressions of the three fundamental one loop Feynman diagrams of Quantum Electrodynamics viz. vertex correction, fermion self-energy and vacuum polarization…

High Energy Physics - Theory · Physics 2020-04-01 Deepesh Bhamre , Anuradha Misra , Vivek Kumar Singh
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