Gauge invariance in asymptotic quantum electrodynamics

Gauge invariance is investigated in asymptotic quantum electrodynamics. A condition on the S-matrix elements which is equivalent to Nishijima's generalization of the Ward identity is derived. It is shown that ∂ μ A μ = ∂ μ A μ in, and the commutators of ∂ μ A μ with the interpolating fields are...

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Bibliographic Details
Published in:Annals of physics 1964-01, Vol.30 (3), p.422-445
Main Author: Pugh, Robert E
Format: Article
Language:English
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Summary:Gauge invariance is investigated in asymptotic quantum electrodynamics. A condition on the S-matrix elements which is equivalent to Nishijima's generalization of the Ward identity is derived. It is shown that ∂ μ A μ = ∂ μ A μ in, and the commutators of ∂ μ A μ with the interpolating fields are evaluated. Finally it is proven by induction in perturbation theory that the theory is automatically gauge invariant to all orders provided that the first order vertex function satisfies the above mentioned condition and the the higher order vertex functions satisfy boundary conditions derived from the requirement of gauge invariance.
ISSN:0003-4916
1096-035X
DOI:10.1016/0003-4916(64)90128-9