Perturbative quantum gravity in analogy with Fermi theory of weak interactions using bosonic tensor fields (Q1770111)

The author considered the perturbative expansion of the Einstein-Hilbert action in graviton field powers. The quadratic order is the free graviton Lagrangian; the first non trivial order is the three gravitons interaction; the subsequent one is the four graviton interaction, and so on. A particular interest is focused on the local four graviton interaction vertex which can be seen as a ``current-current'' interaction in analogy with the Fermi theory of weak interactions. Then, the author introduced the I.T.B. (intermediate tensor boson) theory for quantum gravity in analogy with I.V.B. (intermediate vector boson) theory that is the non local extension of the Fermi theory. In the four gravitons interaction case there are introduced four Lagrangian terms that couple four ``gravitational currents'' with tensor fields of spin 1, 3, 5. This is in analogy with the Fermi theory which couples the fermionic currents, containing two fermions, with the Bosons \(W^+\) and \(W^-\).