arXiv subjects

Ketankumar Jadav

Publications and source records attributed to Ketankumar Jadav.

2 recordsLinked to original sources

arXiv2024

One-particle irreducibility of Vilkovisky-DeWitt effective action

The effective action formalism introduced by Vilkovisky and later modified by DeWitt is completely covariant suitable for obtaining an effective action that is independent of the parametrization of the quantum fields. Among a few basic properties of an effective action, one property is that it can be written as a sum of one-particle irreducible diagrams. In this work, we verify this property up to three-loop order for Vilkovisky-Dewitt effective action (VDEA) by solving the equations satisfied by VDEA written down in the original parametrization for non-gauge theories.

hep-th↗

arXiv2023

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

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.

hep-th↗