Equivalence of Covariant and Light Front QED: Generating Instantaneous Diagrams

Abstract

One loop expressions for fermion self energy,vacuum polarization and vertex correction in light front time ordered perturbation theory (LFTPOT) can be obtained from respective covariant expressions by performing k^- integration. In earlier work, we have shown that the third term in the doubly transverse gauge propagator is necessary to generate the diagrams involving instantaneous photon exchange both in case of fermion self-energy as well as vertex correction.In this work,we show that instantaneous photon exchange diagrams in fermion self-energy as well as th IR singular terms in the propagating diagrams can be generated by taking the asymptotic limit of the covariant expression,if one uses the commonly used two term photon propagator.We also show that this method reproduces the IR singular terms in propagating diagrams of vacuum polarization.

arXiv comment18 pages and 7 figures

References in corpus (4)

• Equivalence of Light-Front and Covariant Field Theory
• Light-Front-Quantized QCD in Light-Cone Gauge: The Doubly Transverse Gauge Propagator
• Coherent States in Null-Plane Q.E.D
• On the correspondence between Light-Front Hamiltonian approach and Lorentz-covariant formulation for Quantum Gauge Theory

Cited by in corpus (4)

• Revisiting the equivalence of light-front and covariant QED in the light-cone gauge
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• Equivalence of Light-Front and Covariant Quantum Electrodynamics at One Loop Level and the form of the Gauge Boson Propagator
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom