Landau-Khalatnikov-Fradkin transformations in Reduced Quantum Electrodynamics
| Autor: | J. J. Cobos-Martínez, Y. Concha-Sánchez, Alfredo Raya, Aftab Ahmad |
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| Rok vydání: | 2016 |
| Předmět: |
Physics
High Energy Physics - Theory Photon 010308 nuclear & particles physics High Energy Physics::Lattice Order (ring theory) Propagator FOS: Physical sciences Fermion Electron Coupling (probability) 01 natural sciences Massless particle High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) Quantum mechanics Quantum electrodynamics 0103 physical sciences Brane 010306 general physics |
| DOI: | 10.48550/arxiv.1604.03886 |
| Popis: | 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 $d_\gamma$ space-time (bulk) dimensions, while electrons remain confined to a $d_e$-dimensional brane, with $d_e < d_\gamma$, referred to in the literature as reduced quantum electrodynamics, RQED$_{d_\gamma,d_e}$. Specializing to the case of graphene, namely, RQED$_{4,3}$ with massless fermions, we derive the nonperturbative 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 of order $\alpha$ and $\alpha^{2}$ is reminiscent from the structure of LKFT in ordinary QED in arbitrary space-time dimensions and provides strong constraints for the multiplicative renormalizability of RQED$_{d_\gamma,d_e}$. Comment: To appear in Physical Review D |
| Databáze: | OpenAIRE |
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