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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 Delbourgo
It 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 General

Volume

37

Issue

25

Pagination

6587-6597

ISSN

0305-4470

Department/School

School of Natural Sciences

Publisher

IOP Publishing Ltd

Place of publication

Bristol, UK

Repository Status

  • Restricted

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Expanding knowledge in the physical sciences

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