Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems

Abstract

The wave function of a composite system is defined in relativity on a space-time surface. In the explicitly covariant light-front dynamics, reviewed in the present article, the wave functions are defined on the plane $ω\cd x=0$, where $\omega$ is an arbitrary four-vector with ${\omega }^2=0$. The standard non-covariant approach is recovered as a particular case for $\omega =(1,0,0,-1)$. Using the light-front plane is of crucial importance, while the explicit covariance gives strong advantages emphasized through all the review. The properties of the relativistic few-body wave functions are discussed in detail and are illustrated by examples in a solvable model. The three-dimensional graph technique for the calculation of amplitudes in the covariant light-front perturbation theory is presented. The structure of the electromagnetic amplitudes is studied. We investigate the ambiguities which arise in any approximate light-front calculations, and which lead to a non-physical dependence of the electromagnetic amplitude on the orientation of the light-front plane. The elastic and transition form factors free from these ambiguities are found for spin 0, 1/2 and 1 systems. The formalism is applied to the calculation of the relativistic wave functions of two-nucleon systems (deuteron, scattering state), with particular attention to the role of their new components in the deuteron elastic and electrodisintegration form factors and to their connection with meson exchange currents. Straigthforward applications to the pion and nucleon form factors and the $\rho -\pi$ transition are also made.

latex.tar.gz file, 162 pages, 42 figures, to be published in Physics Reports (next issues)

Cited by in corpus (214)

• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• Radiative Transitions in Charmonium from Lattice QCD
• The deuteron: structure and form factors
• Transverse Charge Densities
• Generalized parton distributions in the deuteron
• Elastic Electron Scattering from Light Nuclei
• Quarkonium as relativistic bound state on the light front
• Electron and Photon Scattering on Three-Nucleon Bound States
• Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
• Large Momentum Transfer Measurements of the Deuteron Elastic Structure Function A(Q^2) at Jefferson Laboratory
• Pion Generalized Parton Distributions with covariant and Light-front constituent quark models
• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• Solving Bethe-Salpeter equation in Minkowski space
• Light-Front Quantum Chromodynamics: A framework for the analysis of hadron physics
• Electromagnetic Structure of the $\rho$ Meson in the Light-Front Quark Model
• Light-Front Bethe-Salpeter Equation
• A precise measurement of the deuteron elastic structure function A(Q^2)
• SU(6) breaking effects in the nucleon elastic electromagnetic form factors
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• Pair term in the Electromagnetic Current within the Front-Form Dynamics: Spin-0 Case
• Consistent treatment of spin-1 mesons in the light-front formalism
• Quantitative studies of the homogeneous Bethe-Salpeter Equation in Minkowski space
• The covariant structure of light-front wave functions and the behavior of hadronic form factors
• Space-like and time-like pion electromagnetic form factor and Fock state components within the Light-Front dynamics
• Two-body scattering states in Minkowski space and the Nakanishi integral representation onto the null plane
• Cross-ladder effects in Bethe-Salpeter and Light-Front equations
• Time- and Spacelike Nucleon Electromagnetic Form Factors beyond Relativistic Constituent Quark Models
• The Scalar Meson f0(980) in Heavy-Meson Decays
• Possible studies at the first stage of the NICA collider operation with polarized and unpolarized proton and deuteron beams
• Light Front Quantization--A Technique for Relativistic and Realistic Nuclear Physics
• Nonperturbative light-front Hamiltonian methods
• Relativistic instant-form approach to the structure of two-body composite systems (short version)
• Relativistic instant-form approach to the structure of two-body composite systems
• Point-Form Analysis of Elastic Deuteron Form Factors
• Superscaling analysis of inclusive electron scattering and its extension to charge-changing neutrino-nucleus cross sections beyond the relativistic Fermi gas approach
• Whether new data on $D_s\to f_0(980)e^{+}{\nu }_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure
• Calculating TMDs of a Large Nucleus: Quasi-Classical Approximation and Quantum Evolution
• Bethe-Salpeter approach with the separable interaction for the deuteron
• Self-consistency and covariance of light-front quark models: testing via $P$, $V$ and $A$ meson decay constants, and $P\to P$ weak transition form factors
• The relativistic center of mass in field theory with spin
• Superscaling, Scaling Functions and Nucleon Momentum Distributions in Nuclei
• Exploring skewed parton distributions with two body models on the light front II: covariant Bethe-Salpeter approach
• Poincare' Covariant Current Operator and Elastic Electron-Deuteron Scattering in the Front-form Hamiltonian Dynamics
• Electromagnetic form factor via Bethe-Salpeter amplitude in Minkowski space
• Electromagnetic form factors in the light-front formalism and the Feynman triangle diagram: spin-0 and spin-1 two-fermion systems
• Radiative transitions between $0^{-+}$ and $1^{--}$ heavy quarkonia on the light front
• Ab initio nonperturbative calculation of physical observables in light-front dynamics. Application to the Yukawa model
• Solutions of the Bethe-Salpeter equation in Minkowski space and applications to electromagnetic form factors
• Polarized Parton Distributiions and Light-Front Dynamics
• Strange Asymmetries in the Nucleon Sea
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Phenomenological Lagrangian approach to the electromagnetic deuteron form factors
• Solutions of the Wick-Cutkosky model in the Light-Front Dynamics
• Form factors of $V^{\prime }\to V^{\prime \prime }$ transition within the light-front quark models
• Deuteron Magnetic and Quadrupole Moments with a Poincaré Covariant Current Operator in the Front-Form Dynamics
• Nuclear physics in soft-wall AdS/QCD: Deuteron electromagnetic form factors
• Bethe-Salpeter bound-state structure in Minkowski space
• Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space
• Many-body Fock sectors in Wick-Cutkosky model
• Dynamical spin effects in the holographic light-front wavefunctions of light pseudoscalar mesons
• Ab Initio Approach to the Non-Perturbative Scalar Yukawa Model
• Two-fermion relativistic bound states in Light-Front Dynamics
• Light-Front projection of spin-1 electromagnetic current and zero-modes
• Scaling Function, Spectral Function and Nucleon Momentum Distribution in Nuclei
• Projecting the Bethe-Salpeter Equation onto the Light-Front and back: A Short Review
• A Dynamical Principle For 3D-4D Interlinkage In Salpeter-like Equations
• Solving the inhomogeneous Bethe-Salpeter Equation in Minkowski space: the zero-energy limit
• Chiral symmetry and pi-pi scattering in the Covariant Spectator Theory
• Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations
• Three-boson relativistic bound states with zero-range interaction
• Fermionic bound states in Minkowski-space: Light-cone singularities and structure
• Electromagnetic rho-meson form factors in point-form relativistic quantum mechanics
• Two-Fermion Bound States within the Bethe-Salpeter Approach
• Superscaling and Neutral Current Quasielastic Neutrino-Nucleus Scattering beyond the Relativistic Fermi Gas Model
• Infinite Nuclear Matter on the Light Front: Nucleon-Nucleon Correlations
• Vector mesons in a relativistic point-form approach
• Relativistic Quark Spin Coupling Effects in the Nucleon Electromagnetic Form Factors
• Comparison of Form Factors Calculated with Different Expressions for the Boost Transformation
• Statistical Physics and Light-Front Quantization
• Relativistic bound states in Yukawa model
• Entanglement of Fock-space expansion and covariance in light-front Hamiltonian dynamics
• Ground states of the Wick-Cutkosky model using light-front dynamics
• Light-front Ward-Takahashi Identity for Two-Fermion Systems
• Nonperturbative renormalization in a scalar model within Light-Front Dynamics
• Comparison among Hamiltonian light-front formalisms at q+ = 0 and q+ <> 0: space-like elastic form factors of pseudoscalar and vector mesons
• Chiral Light Front Perturbation Theory and the Flavor Dependence of the Light-Quark Nucleon Sea
• Bound state equation for the Nakanishi weight function
• Point-Form Hamiltonian Dynamics and Applications
• Frame dependence of form factors in light-front dynamics
• Renormalized nonperturbative fermion model in Covariant Light Front Dynamics
• The form factor of the pion in "point-form" of relativistic dynamics revisited
• Electroweak form factors of heavy-light mesons -- a relativistic point-form approach
• Two-photon exchange effect on deuteron electromagnetic form factors
• Regularization of fermion self-energy and electromagnetic vertex in Yukawa model within light-front dynamics
• Light-front wavefunctions of mesons by design
• Current in the light-front Bethe-Salpeter formalism I: Replacement of non-wave function vertices
• Scaling Function and Nucleon Momentum Distribution
• Forces inside a strongly-coupled scalar nucleon
• Deuteron transverse densities in holographic QCD
• The Relation Between Equal-Time and Light-Front Wave Functions
• Form factors of $P\to T$ transition within the light-front quark models
• Dibaryon resonances and short-range $NN$ interaction
• Taylor-Lagrange renormalization scheme. Application to light-front dynamics
• States and amplitudes for finite regions in a two-dimensional Euclidean quantum field theory
• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• The gluon and charm content of the deuteron
• Final state interaction in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ with $K\pi$ I=1/2 and 3/2 channels
• Nucleon momentum distribution in deuteron and other nuclei within the light-front dynamics method
• Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations
• Black hole physics, confining solutions of SU(3)-Yang-Mills equations and relativistic models of mesons
• Light-front dynamic analysis of transition form factors in the process of $P\to V\ell {\nu }_{\ell }$
• Coherent phi and omega meson photoproduction from deuteron and non-diffractive channels
• Pseudoscalar meson decay constants and distribution amplitudes up to twist-4 in the light-front quark model
• The nucleon wave function in light-front dynamics
• Quark mass function from a one-gluon-exchange-type interaction in Minkowski space
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Charge-conjugation symmetric complete impulse approximation for the pion electromagnetic form factor in the Covariant Spectator Theory
• Radiative corrections of $O(\a)$ for pion beta decay in the light-front quark model
• Parity violation in deuteron photo-disintegration
• Light-front time picture of few-body systems
• Pion gravitational form factors in the QCD instanton vacuum I
• Relativistic approaches to structure functions of nuclei
• Deuteron binding energies and form factors from light front field theory
• Superscaling in dilute Fermi gas and its relation to general properties of the nucleon momentum distribution in nuclei
• Relativistic multirank interaction kernels of the neutron-proton system
• Leading twist moments of the neutron structure function F2n
• Relativistic dynamics of Qqq systems
• The pion wave function in covariant light-front dynamics
• Feynman versus Bakamjian-Thomas in Light Front Dynamics
• Relativistic quantum mechanics: A Dirac's point-form inspired approach
• Variational Worldline Approximation for the Relativistic Two-Body Bound State in a Scalar Model
• Solving the Bethe-Salpeter Equation in Euclidean Space
• Study of the in-medium nucleon electromagnetic form factors using a light-front nucleon wave function combined with the quark-meson coupling model
• Frame dependence of transition form factors in light-front dynamics
• On isovector meson exchange currents in the Bethe-Salpeter approach
• A Non-Perturbative, Finite Particle Number Approach to Relativistic Scattering Theory
• A Euclidean bridge to the relativistic constituent quark model
• Taylor-Lagrange renormalization scheme, Pauli-Villars subtraction, and light-front dynamics
• A Study of deuteron electromagnetic form factors with light-front approach
• The Generalized Gell-Mann--Low Theorem for Relativistic Bound States
• Euclidean to Minkowski Bethe-Salpeter amplitude and observables
• Three-boson bound states in Minkowski space with contact interactions
• Basis Light-Front Quantization for a Chiral Nucleon-Pion Lagrangian
• Estiamte of the two-photon exchange effect on deuteron electromagnetic form factors
• Antiproton-nucleus electromagnetic annihilation as a way to access the proton timelike form factors
• Bethe-Salpeter equation in Minkowski space with cross-ladder kernel
• Relativistic Quark Spin Coupling Effects in the Correlations Between Nucleon Electroweak Properties
• The spin alignment of vector mesons with light front quarks
• Spin force dependence of the parton distributions: the ratio $F_2^n(x,Q^2)/F_2^p(x,Q^2)$
• Covariant separable interaction for the neutron-proton system in ${}^3{S}_1$-${}^3{D}_1$ partial-wave state
• RQM description of the charge form factor of the pion and its asymptotic behavior
• Stability of bound states in the light-front Yukawa model
• Gravitational form factor $D$ of charmonium from shear stress
• Stress out of charmonia
• A New Structure in the Deuteron
• On rotations in front form dynamics
• Semileptonic meson decays in point-form relativistic quantum mechanics: unambiguous extraction of weak form factors
• Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization
• Chiral sum rule on the light front and the 3D image of the pion
• Non-Perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation
• Trouble in Asymptopia---the Hulthen Model on the Light Front
• Nonperturbative renormalization in light-front dynamics and applications
• Momentum distributions in medium and heavy exotic nuclei
• Computation of effective front form Hamiltonians for massive Abelian gauge theory
• Color-suppression of non-planar diagrams in bosonic bound states
• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
• Weak binding limit and non zero angular momentum states in Light-Front Dynamics
• Weak transition form factors of heavy-light pseudoscalar mesons for space- and timelike momentum transfers
• Deuteron form factors in a phenomenological approach
• Electromagnetic form factor via Minkowski and Euclidean Bethe-Salpeter amplitudes
• Tadpoles and vacuum bubbles in light-front quantization
• Three different approaches to the same interaction: the Yukawa model in nuclear physics
• Deuteron electromagnetic form factors in transverse plane with a phenomenological Lagrangian approach
• RQM description of PS meson form factors, constraints from space-time translations, and underlying dynamics
• Zero Modes in Electromagnetic Form Factors of the Nucleon in a Light-Cone Diquark Model
• $B_c$ to $A$ Transition Form Factors and Semileptonic Decays in Self-consistent Covariant Light-front Approach
• Nonperturbative light-front effective potential for static sources in quenched scalar Yukawa theory
• Dissecting a strongly coupled scalar nucleon
• Form Factors of Few-Body Systems: Point Form Versus Front Form
• Hybrid nature of the abnormal solutions of the Bethe-Salpeter equation in the Wick-Cutkosky model
• Pauli-Villars regularization of non-Abelian gauge theories
• Neutron Charge Radius: Relativistic Effects and the Foldy Term
• Field-theoretical three-body relativistic equations for the multichannel $\pi N<->\gamma N<->\pi \pi N<->\gamma \pi N$ reactions
• Shedding light on charmonium
• Flavor asymmetry from the non-perturbative nucleon sea
• Isospectral scattering for relativistic equivalent Hamiltonians on a coarse momentum grid
• Orbital Angular Momentum Parton Distributions in Light-Front Dynamics
• Spin Dynamics Of $qqq$ Wave Function On Light Front In High Momentum Limit Of QCD : Role Of $qqq$ Force
• Probing Relativistic Spin Effects in the Nucleon by Means of Drell-Yan Processes
• Two-fermion bound states in the explicitly covariant Light-Front Dynamics
• Quark mass functions and pion structure in the Covariant Spectator Theory
• Constituent-quark model with pionic contributions: electromagnetic $N\to \Delta$ transition
• Quadrupole moments of spin-1 systems: the rho meson, the S-wave deuteron and some general constraints
• Stability of two-fermion bound states in the explicitly covariant Light-Front Dynamics
• Non-perturbative renormalization in Light Front Dynamics with Fock space truncation
• Simulating quantum field theories on gate-based quantum computers
• Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory
• Vector meson dominance and deep inelastic scattering at low and medium Q squared
• Canonical Formulation of the Light-Front Gluodynamics and Quantization of the Non-Abelian Plane Waves
• Light Front Formalism for Composite Systems and Some of Its Applications in Particle and Relativistic Nuclear Physics
• Quantum entanglement between partons in a strongly coupled quantum field theory
• Applications of Light-Front QCD
• Lower bound to the mass of a relativistic three-boson system in the light-cone
• Casimir force on a light front
• Soft-QCD Effects In B to gamma gamma Decay: Quark Level Form Factors
• Relativistic descriptions of few-body systems
• Quark model with chiral-symmetry breaking and confinement in the Covariant Spectator Theory
• Chiral-symmetry breaking and confinement in Minkowski space
• A relativistic coupled-channel formalism for electromagnetic form factors of 2-body bound states
• Abnormal solutions of Bethe--Salpeter equation with massless and massive exchanges
• Abnormal Bound Systems
• Study of the homogeneous Bethe-Salpeter equation in the 2+1 Minkowski space
• Three-boson stability for boosted interactions towards the zero-range limit
• Three-Fermion Bound States on the Light Front