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U(3) version of the f − g theory

1974; American Physical Society; Volume: 10; Issue: 10 Linguagem: Inglês

10.1103/physrevd.10.3219

1538-4500

C. J. Isham, Mark Tucker,

Advanced Differential Geometry Research

A U(3)-invariant generalization of the $f\ensuremath{-}g$ theory of the strong and gravitational interactions is given. An invariant Lagrangian is formulated, which is shown to describe a U(3) nonet of spin-2 fields, and a procedure is presented whereby the fields acquire masses through interaction with the gravitational field. Invariant interactions of the spin-2 fields with matter fields of spin 0, 1, and \textonehalf{} are also constructed, using for the last of these a generalization of the vierbein and spin connection formalism of general relativity. Finally, the full equations of motion for the spin-2 fields are derived.