Equivalence of covariant and light front QED at one loop level

Journal Article · Wed Jun 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.125011· OSTI ID:20709599

Misra, Anuradha; Warawdekar, Swati ^[1]

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1. Department of Physics, University of Mumbai, Santa Cruz(E), Mumbai, 400098 (India)

We consider the equivalence of covariant and light front quantum electrodynamics at one loop level. We show that the one loop expressions for fermion self-energy, vacuum polarization, and vertex correction in the covariant perturbation theory can be reduced to a sum of propagating and instantaneous diagrams of light front time-ordered perturbation theory by performing k{sup -} integration. We show that the third term in the doubly transverse gauge propagator is necessary to generate the diagrams involving instantaneous photon exchange both in the case of fermion self-energy as well as the vertex correction. We also show that the correspondence between the covariant and light front diagrams cannot be established if one removes the k{sup +}=0 modes by an infrared cutoff before performing k{sup -} integration.

• OSTI ID: 20709599
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
FERMIONS
FEYNMAN DIAGRAM
PERTURBATION THEORY
PHOTONS
PROPAGATOR
QUANTUM ELECTRODYNAMICS
SELF-ENERGY
VACUUM POLARIZATION