Chattopadhyay, PratikPratikChattopadhyay2025-08-312025-08-312023-12-3010.1142/S0217751X235018652-s2.0-85185261893https://d8.irins.org/handle/IITG2025/29259In chiral Einstein-Cartan gravity, a new gauge fixing procedure is implemented recently, leading to a very economical perturbation expansion of the action. Using this formulation and the relevant gauge fixing, we develop the ghost Lagrangian on an arbitrary Einstein background using the Becchi-Rouet-Stora-Tyutin (BRST) formalism. The novelty is the appearance of a new term quadratic in the tetrad field. We next compute the heat kernel coefficients and understand the divergences arising in the gravitational one-loop effective action. In our computation, the arising heat kernel coefficients depend only on the self-dual part of the Weyl curvature. We make a comparison between our results and what has been obtained for metric general relativity.falseeffective action | Einstein-Cartan gravity | heat kernelArticle1793656X30 December 202322350186arJournal1