Gauge fields arising from spacetime symmetries and gravitational theories. II

Details Gauge fields arising from spacetime symmetries and gravitational theories. II Gauge fields arising from spacetime symmetries and gravitational theories. II

Dec 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phrvd..12.3804a&link_type=abstract

Physical Review D (Particles and Fields), Volume 12, Issue 12, 15 December 1975, pp.3804-3809

Mathematics

Logic

7

Scientific paper

The consequences of covariance of the matter Lagrangian under gauge transformations of the second kind of the 15-parameter conformal group are investigated. In order to accomplish this, 44 fields (16 vierbein fields hkμ, 24 rotational gauge fields Aijμ, and 4 scale gauge fields φμ) are introduced. Furthermore, a Brans-Dicke-type scalar field is used to construct a simple "vacuum" Lagrangian, which is easily reducible to the Einstein Lagrangian; the derived dynamical theory is investigated in the most general case and in various particular cases. Connections are established to many works on this subject. Finally a link is established between the mass of the scalar field and the cosmological constant of Einstein's theory. A possible value is calculated.

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