Scalar Matter Coupled to Quantum Gravity in the Causal Approach: Finite One-Loop Calculations and Perturbative Gauge Invariance

Abstract

Quantum gravity coupled to scalar massive matter fields is investigated within the framework of causal perturbation theory. One-loop calculations include matter loop graviton self-energy and matter self-energy and yield ultraviolet finite and cutoff-free expressions. Perturbative gauge invariance to second order implies the usual Slavnov-Ward identities for the graviton self-energy in the loop graph sector and generates the correct quartic graviton-matter interaction in the tree graph sector. The mass zero case is also discussed.

37 pages, latex, no figures, some typos corrected, section 3 modified

References in corpus (2)

• Slavnov-Taylor Identities from the Causal Point of View
• Two-Loop Diagrams in Causal Perturbation Theory

Cited by in corpus (8)

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• Gravity as the Spin-2 Quantum Gauge Theory
• Infrared Behaviour of Massive Scalar Matter coupled to Gravity