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The nonperturbative propagator and vertex in massless quenched QED(d)
journal contribution
posted on 2023-05-16, 15:19 authored by Bashir, A, Robert DelbourgoRobert DelbourgoIt is well known how multiplicative renormalizability of the fermion propagator, through its Schwinger-Dyson equation, imposes restrictions on the 3-point fermion-boson vertex in massless quenched quantum electrodynamics in four dimensions. Moreover, perturbation theory serves as an excellent guide for possible nonperturbative constructions of Green functions. We extend these ideas to arbitrary dimensions d. The constraint of multiplicative renormalizability of the fermion propagator is generalized to a Landau-Khalatnikov-Fradkin transformation law in d dimensions and it naturally leads to a constraint on the fermion-boson vertex. We verify that this constraint is satisfied in perturbation theory at the one-loop level in three dimensions. Based upon one-loop perturbative calculation of the vertex, we find additional restrictions on its possible nonperturbative forms in arbitrary dimensions.
History
Publication title
Journal of Physics A-Mathematical and GeneralVolume
37Issue
25Pagination
6587-6597ISSN
0305-4470Department/School
School of Natural SciencesPublisher
IOP Publishing LtdPlace of publication
Bristol, UKRepository Status
- Restricted