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Issues that are specific for formulating fermions in light-cone quantization are discussed. Special emphasis is put on the use of parity invariance in the non-perturbative renormalization of light-cone Hamiltonians.

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

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

We study properties of classical reparametrization-invariant matter systems, mainly the relativistic particle and its d-brane generalization. The corresponding matter Lagrangian naturally contains background interaction fields, such as a…

Mathematical Physics · Physics 2007-05-23 Vesselin G. Gueorguiev

A brief introduction to light front techniques is presented. This is followed by a review of recent attempts to perform realistic, relativistic nuclear physics with those techniques.

Nuclear Theory · Physics 2010-12-13 Gerald A. Miller

We present a study of the so called relaxed field equations of general relativity in terms of a decomposition of the metric; which is designed to deal with the notion of particles. Several known results are generalized to a coordinate free…

General Relativity and Quantum Cosmology · Physics 2012-12-12 Emanuel Gallo , O. M. Moreschi

Light-front wave functions play a fundamental role in the light-front quantization approach to QCD and hadron structure. However, a naive implementation of the light-front quantization suffers from various subtleties including the…

High Energy Physics - Phenomenology · Physics 2022-05-04 Xiangdong Ji , Yizhuang Liu

We offer a fresh perspective on the relational interpretation of quantum mechanics as a way of thinking about the world described by quantum theory based on quantifiable notions of information. This allows us to provide a definition of a…

Quantum Physics · Physics 2026-02-10 Andrea Di Biagio , Carlo Rovelli

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

We present our recent progress in applying basis light-front quantization approach to investigate the structure of the light mesons and the nucleon.

High Energy Physics - Phenomenology · Physics 2022-08-18 Chandan Mondal , Jiangshan Lan , Kaiyu Fu , Siqi Xu , Zhi Hu , Xingbo Zhao , James P. Vary

Conventional relativistic quantum mechanics, based on the Klein-Gordon equation, does not possess a natural probabilistic interpretation in configuration space. The Bohmian interpretation, in which probabilities play a secondary role,…

Quantum Physics · Physics 2014-11-18 H. Nikolic

Relativistic quantum information combines the informational approach to understanding and using quantum mechanics systems - quantum information - with the relativistic view of the universe. In this introductory review we examine key results…

Quantum Physics · Physics 2015-06-03 Timothy C. Ralph , Tony G. Downes

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

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

The Weyl-Wigner-Moyal formalism for Dirac second class constrained systems has been proposed recently as the deformation quantization of Dirac bracket. In this paper, after a brief review of this formalism, it is applied to the case of the…

High Energy Physics - Theory · Physics 2008-11-26 Laura Sanchez , Imelda Galaviz , Hugo Garcia-Compean

We obtain the light-front wavefunctions for the nucleon in the valence quark Fock space from an effective Hamiltonian, which includes the transverse and longitudinal confinement and the one-gluon exchange interaction with fixed coupling.…

High Energy Physics - Phenomenology · Physics 2021-12-14 Chandan Mondal , Siqi Xu , Jiangshan Lan , Xingbo Zhao , Yang Li , Dipankar Chakrabarti , James P. Vary

This paper introduces "time-dependent basis light-front quantization", which is a covariant, nonperturbative, and first principles numerical approach to time-dependent problems in quantum field theory. We demonstrate this approach by…

Nuclear Theory · Physics 2013-11-15 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary

In a minimalistic view, the use of noncommutative coordinates can be seen just as a way to better express non-local interactions of a special kind: 1-particle solutions (wavefunctions) of the equation of motion in the presence of an…

High Energy Physics - Theory · Physics 2012-09-28 Gaetano Fiore

We consider the Hamiltonian and Lagrangian formalism describing free \k-relativistic particles with their four-momenta constrained to the \k-deformed mass shell. We study the modifications of the formalism which follow from the introduction…

High Energy Physics - Theory · Physics 2011-05-05 J. Lukierski , H. Ruegg , W. J. Zakrzewski

Different relativistic quantum mechanics approaches have recently been used to calculate properties of various systems, form factors in particular. It is known that predictions, which most often rely on a single-particle current…

Nuclear Theory · Physics 2008-11-26 Bertrand Desplanques , Yu Bing Dong

Quantum simulation of quantum field theories offers a new way to investigate properties of the fundamental constituents of matter. We develop quantum simulation algorithms based on the light-front formulation of relativistic field theories.…

High Energy Physics - Theory · Physics 2023-12-07 Carter M. Gustin , Gary Goldstein