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Tree Level Gravity - Scalar Matter Interactions in Analogy with Fermi Theory of Weak Interactions using Only a Massive Vector Field

Leonardo Modesto
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Abstract

In this paper we work in perturbative Quantum Gravity coupled to Scalar Matter at tree level and we introduce a new effective model in analogy with the Fermi theory of weak interaction and in relation with a previous work where we have studied only the gravity and its self-interaction. This is an extension of the I.T.B model (Intermediate-Tensor-Boson) for gravity also to gravitational interacting scalar matter. We show that in a particular gauge the infinite series of interactions containing "n" gravitons and two scalars could be rewritten in terms of only two Lagrangians containing a massive field, the graviton and, obviously, the scalar field. Using the S-matrix we obtain that the low energy limit of the amplitude reproduce the local Lagrangian for the scalar matter coupled to gravity.

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Leonardo Modesto. 2004-01-04. Tree Level Gravity - Scalar Matter Interactions in Analogy with Fermi Theory of Weak Interactions using Only a Massive Vector Field. https://doi.org/10.1007/s10714-005-0009-z

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