Consistent perturbative light-front formulation of quantum electrodynamics

Abstract

A new light-front formulation of Q.E.D. is developed, within the framework of standard perturbation theory, in which $x^{+}$ plays the role of the evolution parameter and the gauge choice is $A_{+}=0$ (light-front "temporal" gauge). It is shown that this formulation leads to the Mandelstam-Leibbrandt causal prescription for the non-covariant singularities in the photon propagator. Furthermore, it is proved that the dimensionally regularized one loop off-shell amplitudes exactly coincide with the correct ones, as computed within the standard approach using ordinary space-time coordinates.

PlainTeX, 29 pages, 5 Postscript figures

References in corpus (2)

• The Lamb Shift in a Light Front Hamiltonian Approach
• Zero-mode contribution to the light-front Hamiltonian of Yukawa type models

Cited by in corpus (3)

• Vacuum Polarization Effects in the Lorentz and PCT Violating Electrodynamics
• Equivalence of Light-Front and Covariant Quantum Electrodynamics at One Loop Level and the form of the Gauge Boson Propagator
• Extended Hamiltonian Formalism of the Pure Space-Like Axial Gauge Schwinger Model