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 TMF, 1985, Volume 65, Number 1, Pages 70–78 (Mi tmf5059)

Conformal invariance in gauge theories. I. Quantum electrodynamics

R. P. Zaikov

Abstract: The present cycle of studies is based on the assumption that gauge fields transform in accordance with nonprincipal representations of the conformal group. As a consequence, it is shown that the conformally invariant two-point functions have nontrivial transverse parts. Conformal quantum electrodynamics is considered in this, the first paper. A nondegenerate conformally invariant Lagrangian of the free electromagnetic field is constructed, and the validity of canonical quantization is verified. The physical subspace is distinguished in an invariant manner. The inclusion of an interaction with an external current is discussed.

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English version:
Theoretical and Mathematical Physics, 1985, 65:1, 1016–1022

Bibliographic databases:

Citation: R. P. Zaikov, “Conformal invariance in gauge theories. I. Quantum electrodynamics”, TMF, 65:1 (1985), 70–78; Theoret. and Math. Phys., 65:1 (1985), 1016–1022

Citation in format AMSBIB
\Bibitem{Zai85} \by R.~P.~Zaikov \paper Conformal invariance in gauge theories. I.~Quantum electrodynamics \jour TMF \yr 1985 \vol 65 \issue 1 \pages 70--78 \mathnet{http://mi.mathnet.ru/tmf5059} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=822214} \transl \jour Theoret. and Math. Phys. \yr 1985 \vol 65 \issue 1 \pages 1016--1022 \crossref{https://doi.org/10.1007/BF01028635} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1985C731200007} 

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This publication is cited in the following articles:
1. R. P. Zaikov, “Conformal invariance in gauge theories. III. Linear gravitation”, Theoret. and Math. Phys., 75:3 (1988), 593–599
2. V. N. Zaikin, M. Ya. Pal'chik, “Conformally Invariant Regularization and Skeleton Expansions in Gauge Theory”, Theoret. and Math. Phys., 128:3 (2001), 1181–1192
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