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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 75, Number 3, Pages 378–387 (Mi tmf4950)  

Conformal invariance in gauge theories. III. Linear gravitation

R. P. Zaikov
References:
Abstract: The results of the first two parts of the present study are generalized to the case of nonlinear gravitation. Under the assumption that the gauge tensor field of second rank transforms in accordance with a nonprincipal representation of the conformal group it is found that the conformally invariant two-point functions of this field have nonzero transverse part, and a nondegenerate conformally invariant Lagrangian is also constructed. It is shown that in the gauge-invariant sector this theory is identical with ordinary renormalizable linear gravitation. The global symmetry of the effective Lagrangian, which can be used to separate the subspace of transverse states and derive a Ward identity, is discussed.
Received: 07.04.1986
English version:
Theoretical and Mathematical Physics, 1988, Volume 75, Issue 3, Pages 593–599
DOI: https://doi.org/10.1007/BF01036259
Bibliographic databases:
Language: Russian
Citation: R. P. Zaikov, “Conformal invariance in gauge theories. III. Linear gravitation”, TMF, 75:3 (1988), 378–387; Theoret. and Math. Phys., 75:3 (1988), 593–599
Citation in format AMSBIB
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\by R.~P.~Zaikov
\paper Conformal invariance in gauge theories. III.~Linear gravitation
\jour TMF
\yr 1988
\vol 75
\issue 3
\pages 378--387
\mathnet{http://mi.mathnet.ru/tmf4950}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=959722}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 75
\issue 3
\pages 593--599
\crossref{https://doi.org/10.1007/BF01036259}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U173000006}
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:255
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    References:50
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