English

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

High Energy Physics - Theory 2023-04-20 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2304.08425,
  title  = {Two-loop Vilkovisky-DeWitt effective action for scalar field minimally coupled with gravity},
  author = {Ketankumar Jadav and Sukanta Panda and Abbas Altafhussain Tinwala},
  journal= {arXiv preprint arXiv:2304.08425},
  year   = {2023}
}

Comments

42 pages and 2 figures

R2 v1 2026-06-28T10:08:38.960Z