Perturbative Gravity in the Causal Approach

Abstract

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.

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

References in corpus (5)

• BRST Symmetry and Cohomology
• A remark on quantum gravity
• Cohomological Aspects of Gauge Invariance in the Causal Approach
• Massive gravity as a quantum gauge theory
• Massive gravity from descent equations

Cited by in corpus (6)

• Massive gravity from descent equations
• Regularization in quantum field theory from the causal point of view
• Massive Yang-Mills Fields in Interaction with Gravity
• The Interaction of Quantum Gravity with Matter
• From massive gravity to modified general relativity II
• On the Super-Renormalizablity of Quantum Gravity in the Linear Approximation