Perturbative Gravity in the Causal Approach

Details Perturbative Gravity in the Causal Approach Perturbative Gravity in the Causal Approach

2008-05-22

arxiv.org/abs/0805.3438v2

Class.Quant.Grav.27:015013,2010

Physics

High Energy Physics

High Energy Physics - Theory

50 pages, no figures, some changes in the last section

Scientific paper

10.1088/0264-9381/27/1/015013

Quantum theory of the gravitation in the causal approach is studied up to the second order of perturbation theory. We prove gauge invariance and renormalizability in the second order of perturbation theory for the pure gravity system (massless and massive). Then we investigate the interaction of massless gravity with matter (described by scalars and spinors) and massless Yang-Mills fields. We obtain a difference with respect to the classical field theory due to the fact that in quantum field theory one cannot enforce the divergenceless property on the vector potential and this spoils the divergenceless property of the usual energy-momentum tensor. To correct this one needs a supplementary ghost term in the interaction Lagrangian.

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