Nonvanishing zero modes in the light-front current

Abstract

We find that the zero mode($q^{+}=0$ mode of a continuum theory) contribution is crucial to obtain the correct values of the light-front current $J^{-}$ in the Drell-Yan($q^{+}=0$) frame. In the exactly solvable model of (1+1)-dimensional scalar field theory interacting with gauge fields, we quantify the zero mode contribution and observe that the zero mode effects are very large for the light meson form factors even though they are substantially reduced for the heavy meson cases.

10 pages including 7 figures, to be published in Phys. Rev. D

References in corpus (1)

• Pairs in the light-front and covariance

Cited by in corpus (55)

• Light-Cone Representation of the Spin and Orbital Angular Momentum of Relativistic Composite Systems
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Electromagnetic Structure of the $\rho$ Meson in the Light-Front Quark Model
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• The Vector Meson Form Factor Analysis in Light-Front Dynamics
• Regularizing the Divergent Structure of the Light-Front Currents
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• Consistent treatment of spin-1 mesons in the light-front formalism
• Pair term in the Electromagnetic Current within the Front-Form Dynamics: Spin-0 Case
• Pion Eletromagnetic Current in the Ligth-Cone Formalism
• Variational Analysis of Mass Spectra and Decay Constants for Ground State Pseudoscalar and Vector Mesons in Light-Front Quark Model
• Nonperturbative light-front Hamiltonian methods
• Transition Form Factors between Pseudoscalar and Vector Mesons in Light-Front Dynamics
• Self-consistent covariant description of vector meson decay constants and chirality-even quark-antiquark distribution amplitudes up to twist-3 in the light-front quark model
• 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
• Kaon electroweak form factors in the light-front quark model
• Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis
• Non-leptonic two-body decays of the Bc meson in light-front quark model and QCD factorization approach
• New effective treatment of the light-front nonvalence contribution in timelike exclusive processes
• Pion and kaon elastic form factors in a refined light-front model
• Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction
• Light-front quark model analysis of rare $B\to K{\ell }^{+}{\ell }^{-}$ decays
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Covariance of Light-Front Models: Pair Current
• Angular Conditions,Relations between Breit and Light-Front Frames, and Subleading Power Corrections
• Pion structure in the nuclear medium
• Disentangling Intertwined Embedded States and Spin Effects in Light-Front Quantization
• The Light-Front Zero-Mode Contribution to the Good Current in Weak Transition
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Poincare Invariant Algebra From Instant to Light-Front Quantization
• Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
• Frame Dependence of Spin-One Angular Conditions in Light Front Dynamics
• Frame dependence of form factors in light-front dynamics
• Light-front quark model analysis of the exclusive rare $B_c\to D_{(s)}({\ell }^{+}{\ell }^{-},{\nu }_{\ell }{\bar{\nu }}_{\ell })$ decays
• Light-front zero-mode contribution to the tensor form factors for the exclusive rare $P\to V{\ell }^{+}{\ell }^{-}$ decays
• Exclusive rare $B_s\to (K,\eta ,{\eta }^{\prime }){\ell }^{+}{\ell }^{-}$ decays in the light-front quark model
• Weak Radiative Decays of Anti-triplet Bottomed Baryons in Light-Front Quark Model
• Light-front dynamic analysis of transition form factors in the process of $P\to V\ell {\nu }_{\ell }$
• Pseudoscalar meson decay constants and distribution amplitudes up to twist-4 in the light-front quark model
• Exploring the timelike region for the elastic form factor in the light-front quantization
• The relation between instant and light-front formulations of quantum field theory
• Frame-Independence of Exclusive Amplitudes in the Light-Front Quantization
• Chiral anomaly and the pion properties in the light-front quark model
• The doubly virtual $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }{\gamma }^{\ast }$ transition form factors in the light-front quark model
• Kaon Structure in the Nuclear Medium within the Light Front Approach
• Heavy quark symmetry of ${\Lambda }_b^0$ decays in quark models
• In-Medium $K^{+}$ Electromagnetic Form Factor with a Symmetric Vertex in a Light Front Approach
• Space- and time-like form factors for $\omega \to \pi {\gamma }^{\ast }$ and $K^{\ast }\to K{\gamma }^{\ast }$ in light-front quark model
• $B_c$ to $A$ Transition Form Factors and Semileptonic Decays in Self-consistent Covariant Light-front Approach
• Light-front dynamic analysis of the longitudinal charge density using the solvable scalar field model in (1+1) dimensions
• Twist-3 Distribution Amplitudes of Pion in the Light-Front Quark Model
• Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory
• Analysis of virtual meson production in solvable (1+1) dimensional scalar field theory
• Light-Front QCD Hamiltonian Dynamics and Constituent Quark Picture in Exclusive Processes
• Spin-1 particles and perturbative QCD