Linear conformal gravitation

Details Linear conformal gravitation Linear conformal gravitation

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984rpphm...6..114p&link_type=abstract

In its USSR Rept.: Phys. and Math. (JPRS-UPM-84-006) p 114 (SEE N85-11676 02-70) Transl. into ENGLISH from Dokl. Akad. Nauk SSS

Physics

Field Theory (Physics), Gauge Theory, Gravitation, Linearity, Quantum Electrodynamics, Tensors, Conformal Mapping, Lagrangian Equilibrium Points, Symmetry

Scientific paper

Conformal gravitation described by a lagrangian involving a Weyl tensor forms a field theory of interest for the quantum gravitation problem. Einsteinian gravity acting over large distances arises as a result of dynamic symmetry breaking while small distances are fully described by conformal gravitation. The latter is analyzed in the paper on the supposition that solutions have complete conformal symmetry but this is justified only for small distances and determined types of material fields. Two cases are shown for which solutions are possible: (1) special fields whose interactions result in the absence of conformal anomalies (for example, in relation to conformal supergravitation), and (2) for link constants coinciding with Gell-Mann function zeroes. Consideration is limited to linear gravitation or abelian gage theory. The solution of the quantum equation is invariant relative to the conformal transformations but contradictions arise due to difficulties in all gage theories. Recent advances in quantum electrodynamics are used. Improved transformation laws are developed and a nontrivial metric field generator is described. Representation spaces and subspaces, and equivalence and invariance characteristics are examined.

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