Perturbative quantum gravity in analogy with Fermi theory of weak interactions using bosonic tensor fields |
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Authors: | Leonardo Modesto |
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Institution: | (1) Dipartimento di Fisica Teorica, Universitá di Torino & INFN - Sezione di Torino, via P. Giuria 1, I-10125 Torino, Italy |
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Abstract: | In this paper we work in perturbative quantum gravity and we introduce a new effective model for gravity. Expanding the Einstein–Hilbert Lagrangian in graviton field powers we have an infinite number of terms. In this paper we study the possibility of an interpretation of more than three graviton interacting vertices as effective vertices of a most fundamental theory that contain tensor fields. Here we introduce a Lagrangian model named I.T.B. (intermediate-tensor-boson) where four gravitational pseudo-currents that contain two gravitons couple to three massive tensorial fields of ranks one, three and five, respectively. We show that the exchange of those massive particles reproduces, at low energy, the interacting vertices for four or more gravitons. In a particular version, the model contains a dimensionless coupling constant g and the mass M of the intermediate bosons as free parameters. The universal gravitational constant GN is shown to be proportional to the inverse of mass squared of mediator fields, particularly
. A foresighting choice of the dimensionless coupling constant could lower the energy scale where quantum gravity aspects show up. |
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Keywords: | Quantum gravity Tensor-boson graviton |
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