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arXiv · 2304.08425

Two-loop Vilkovisky-DeWitt effective action for scalar field minimally coupled with gravity

Ketankumar Jadav·Sukanta Panda·Abbas Altafhussain Tinwala
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Abstract

It is known that Vilkovisky-DeWitt's effective action is gauge invariant off-shell and independent of quantum field parametrization. In this work, we perform the calculation of the divergences in two-loop Vilkovisky-DeWitt's effective action for the theory of a massive scalar field minimally coupled to gravity. We quantize both gravity and scalar field around a flat Minkowski metric and a constant scalar field background. The quantum corrections are computed up to second order in the background scalar field for the purpose of mass renormalization.

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Ketankumar Jadav, Sukanta Panda, Abbas Altafhussain Tinwala. 2023-04-17. Two-loop Vilkovisky-DeWitt effective action for scalar field minimally coupled with gravity. https://arxiv.org/abs/2304.08425

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