Poincare Invariant Algebra From Instant to Light-Front Quantization

Abstract

We present the Poincare algebra interpolating between instant and light-front time quantizations. The angular momentum operators satisfying SU(2) algebra are constructed in an arbitrary interpolation angle and shown to be identical to the ordinary angular momentum and Leutwyler-Stern angular momentum in the instant and light-front quantization limits, respectively. The exchange of the dynamical role between the transverse angular mometum and the boost operators is manifest in our newly constructed algebra.

arXiv comment21 pages, 3 figures, 1 table

References in corpus (18)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Unified description of light- and strange-baryon spectra
• Mixing angles and electromagnetic properties of ground state pseudoscalar and vector meson nonets in the light-cone quark model
• Analysis of the Pion Wave Function in Light-Cone Formalism
• Covariant nucleon electromagnetic form factors from the Goldstone-boson-exchange quark model
• Electromagnetic form factors of the $\rho$ meson in a light-front constituent quark model
• Light-Front Quark Model Analysis of Exclusive $0^{-}$$\to$$0^{-}$ Semileptonic Heavy Meson Decays
• Hard Constituent Quarks and Electroweak Properties of Pseudoscalar Mesons
• Nonvanishing zero modes in the light-front current
• Charge form factors of pseudoscalar mesons
• Pauli--Villars as a Nonperturbative Ultraviolet Regulator in Discretized Light-Cone Quantization
• Radiative $\pi \rho$ and $\pi \omega$ transition form factors in a light-front constituent quark model
• Kaon electroweak form factors in the light-front quark model
• Transverse Spin in QCD and Transverse Polarized Deep Inelastic Scattering
• Transverse Spin in QCD: Radiative Corrections
• Frame-Independence of Exclusive Amplitudes in the Light-Front Quantization
• Flow equations for quark-gluon interactions in light-front QCD
• Pauli-Villars Regularization in a Discrete Light-Cone Model

Cited by in corpus (13)

• Nonperturbative pair production in interpolating fields
• Classical and quantum particle dynamics in univariate background fields
• Interpolating Scattering Amplitudes between Instant Form and Front Form of Relativistic Dynamics
• The Electromagnetic Gauge Field Interpolation between the Instant Form and the Front Form of the Hamiltonian Dynamics
• Frame Dependence of Spin-One Angular Conditions in Light Front Dynamics
• Interpolating Helicity Spinors Between the Instant Form and the Light-front Form
• The box diagram in Yukawa theory
• Interpolating Quantum Electrodynamics between Instant and Front Forms
• Transitioning from equal-time to light-front quantization in ${\varphi }_2^4$ theory
• Tadpoles and vacuum bubbles in light-front quantization
• Interpolating conformal algebra in $(1+1)$ dimensions between the instant form and the light-front form of relativistic dynamics
• Quantum orientation entanglement analysis of the interpolating helicity states between the instant form dynamics and the light-front dynamics
• Interpolating 't Hooft model between instant and front forms