HEM 2016: Landau-Khalatnikov-Fradkin transformations in Reduced Quantum Electrodynamics


Landau-Khalatnikov-Fradkin transformations in Reduced Quantum Electrodynamics

We derive the Landau-Khalatnikov-Frandkin transformation (LKFT) for the fermion propagator in quantum electrodynamics (QED) described within a brane-world inspired framework where photons are allowed to move in dγ space-time (bulk) dimensions while electrons remain confined to a de-dimensional brane, with de<dγ, referred to in the literature as Reduced Quantum Electrodynamics, RQEDdγ,de. Specializing to the case of graphene, namely RQED4,3 with massless fermions, we derive the non-perturbative form of the fermion propagator starting from its bare counterpart and then compare its weak coupling expansion to known one- and two-loop perturbative results. The agreement of the gauge dependent terms at order α and α2 is reminiscent from the structure of LKFT in ordinary QED in arbitrary space-time dimensions and provides strong constraints for the multiplicative renormalizability of RQEDdγ,de.

Subjects: High Energy Physics – Phenomenology (hep-ph); High Energy Physics – Theory (hep-th)
Cite as: arXiv:1604.03886 [hep-ph]
(or arXiv:1604.03886v1 [hep-ph] for this version)


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