Equivalence of Light-Front and Covariant Field Theory

Abstract

In this paper we discuss the relation between the standard covariant quantum field theory and light-front field theory. We define covariant theory by its Feynman diagrams, whereas light-front field theory is defined in terms of light-cone time-ordered diagrams. A general algorithm is proposed that produces the latter from any Feynman diagram. The procedure is illustrated in several cases. Technical problems that occur in the light-front formulation and have no counterpart in the covariant formulation are identified and solved.

47 Pages, LaTeX with LaTeX figures included in the text

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Cited by in corpus (39)

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• Comparison of quantum field perturbation theory for the light front with the theory in lorentz coordinates
• Semileptonic $B$ and $B_s$ decays involving scalar and axial-vector mesons
• Covariance of Light-Front Models: Pair Current
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• Equivalence of renormalized covariant and light-front perturbation theory: I. Longitudinal divergences in the Yukawa model
• Equivalence of renormalized covariant and light-front perturbation theory: II. Transverse divergences in the Yukawa model
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• Proof of sum rules for double parton distributions in QCD
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• Entanglement of Fock-space expansion and covariance in light-front Hamiltonian dynamics
• Restoration of rotational invariance of bound states on the light front
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• Radiative corrections of $O(\a)$ for pion beta decay in the light-front quark model
• Infra-red Divergences in Light-Front QED and Coherent State Basis
• The box diagram in Yukawa theory
• Revisiting the equivalence of light-front and covariant QED in the light-cone gauge
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• Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization
• Solving multi-loop Feynman diagrams using light-front coordinates
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• Equivalence of Covariant and Light Front QED: Generating Instantaneous Diagrams
• Equivalence of Light-Front and Covariant Quantum Electrodynamics at One Loop Level and the form of the Gauge Boson Propagator
• Teleparallel formalism of galilean gravity
• Why pair production cures covariance in the light-front?
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• The Rotation Average in Lightcone Time-Ordered Perturbation Theory
• Equivalence of Covariant and Light-Front Perturbation Theory
• Light-Front Dynamics and Generalized Parton Distributions