[Submitted on 2 Sept 2016] (cross-list from hep-ph)
Revisiting the equivalence of light-front and covariant QED in the light-cone gauge
Luca Mantovani🇮🇹 · Barbara Pasquini🇮🇹 · Xiaonu Xiong🇮🇹 · Alessandro Bacchetta🇮🇹
We discuss the equivalence between light-front time-ordered-perturbation theory and covariant quantum field theory in light-front quantization, in the case of quantum electrodynamics at one-loop level. In particular, we review the one-loop calculation of the vertex correction, fermion self-energy and vacuum polarization. We apply the procedure of integration by residue over the light-front energy in the loop to show how the perturbative expansion in covariant terms can be reduced to a sum of propagating and instantaneous diagrams of light-front time-ordered perturbation theory. The detailed proof of equivalence between the two formulations of the theory resolves the controversial question on which form should be used for the gauge-field propagator in the light-cone gauge in the covariant approach.
- Comments:
- 18 pages, 5 figures
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
- arXiv:
- 1609.00746 [pdf]