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The nonperturbative propagator and vertex in massless quenched QED(d)


Bashir, A and Delbourgo, R, The nonperturbative propagator and vertex in massless quenched QED(d), Journal of Physics A-Mathematical and General, 37, (25) pp. 6587-6597. ISSN 0305-4470 (2004) [Refereed Article]

DOI: doi:10.1088/0305-4470/37/25/011


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.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Other physical sciences
Research Field:Other physical sciences not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Bashir, A (Professor Adnan Bashir)
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
ID Code:30823
Year Published:2004
Web of Science® Times Cited:26
Deposited By:Physics
Deposited On:2004-08-01
Last Modified:2011-08-01

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