Tree Level Gravity - Scalar Matter Interactions in Analogy with Fermi Theory of Weak Interactions using Only a Massive Vector Field
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.
Keywords
Cite
@article{arxiv.hep-th/0401013,
title = {Tree Level Gravity - Scalar Matter Interactions in Analogy with Fermi Theory of Weak Interactions using Only a Massive Vector Field},
author = {Leonardo Modesto},
journal= {arXiv preprint arXiv:hep-th/0401013},
year = {2011}
}
Comments
7 pages Latex