
TL;DR
This paper investigates the one-loop quantization of a scalar field coupled to gravity, focusing on divergences in the mass term and employing a gauge-invariant Vilkovisky-DeWitt approach to identify the effective action's divergences.
Contribution
It applies the Vilkovisky-DeWitt effective action method to analyze divergences in scalar-gravity coupling, ensuring gauge invariance and gauge condition independence.
Findings
Identified the complete pole part of the effective action.
Demonstrated gauge invariance in the divergence calculation.
Provided insights into quantum corrections in scalar-gravity systems.
Abstract
In this paper we consider the quantization of a scalar field coupled to gravity at one loop order. We investigate the divergences appearing in the mass (i.e. phi^2) term in the effective action. We use the Vilkovisky-DeWitt effective action technique which guarantees that the result is gauge invariant as well as gauge condition independent in contrast to traditional calculations. Our final result is to identify the complete pole part of the effective action.
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